Question

What is the solution to the equation 6y –2(y + 1) = 3(y – 2) + 6?

Answer 1

y=2

Answer 2

6y-2(y+1)=3(y-2)+6

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Equation:


Solution for 6y-2(y+1)=3(y-2)+6 equation:

Simplifying
6y + -2(y + 1) = 3(y + -2) + 6

Reorder the terms:
6y + -2(1 + y) = 3(y + -2) + 6
6y + (1 * -2 + y * -2) = 3(y + -2) + 6
6y + (-2 + -2y) = 3(y + -2) + 6

Reorder the terms:
-2 + 6y + -2y = 3(y + -2) + 6

Combine like terms: 6y + -2y = 4y
-2 + 4y = 3(y + -2) + 6

Reorder the terms:
-2 + 4y = 3(-2 + y) + 6
-2 + 4y = (-2 * 3 + y * 3) + 6
-2 + 4y = (-6 + 3y) + 6

Reorder the terms:
-2 + 4y = -6 + 6 + 3y

Combine like terms: -6 + 6 = 0
-2 + 4y = 0 + 3y
-2 + 4y = 3y

Solving
-2 + 4y = 3y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3y' to each side of the equation.
-2 + 4y + -3y = 3y + -3y

Combine like terms: 4y + -3y = 1y
-2 + 1y = 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + 1y = 0

Add '2' to each side of the equation.
-2 + 2 + 1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = 0 + 2
1y = 0 + 2

Combine like terms: 0 + 2 = 2
1y = 2

Divide each side by '1'.
y = 2

Simplifying
y = 2

Answer 3

y = 2

Answer 4

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