2y-3(y-1)=8-2(y-2)

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Solution for 2y-3(y-1)=8-2(y-2) equation:


Simplifying
2y + -3(y + -1) = 8 + -2(y + -2)

Reorder the terms:
2y + -3(-1 + y) = 8 + -2(y + -2)
2y + (-1 * -3 + y * -3) = 8 + -2(y + -2)
2y + (3 + -3y) = 8 + -2(y + -2)

Reorder the terms:
3 + 2y + -3y = 8 + -2(y + -2)

Combine like terms: 2y + -3y = -1y
3 + -1y = 8 + -2(y + -2)

Reorder the terms:
3 + -1y = 8 + -2(-2 + y)
3 + -1y = 8 + (-2 * -2 + y * -2)
3 + -1y = 8 + (4 + -2y)

Combine like terms: 8 + 4 = 12
3 + -1y = 12 + -2y

Solving
3 + -1y = 12 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
3 + -1y + 2y = 12 + -2y + 2y

Combine like terms: -1y + 2y = 1y
3 + 1y = 12 + -2y + 2y

Combine like terms: -2y + 2y = 0
3 + 1y = 12 + 0
3 + 1y = 12

Add '-3' to each side of the equation.
3 + -3 + 1y = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 12 + -3
1y = 12 + -3

Combine like terms: 12 + -3 = 9
1y = 9

Divide each side by '1'.
y = 9

Simplifying
y = 9

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