-2(y-1)+y=7(y-2)

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Solution for -2(y-1)+y=7(y-2) equation:


Simplifying
-2(y + -1) + y = 7(y + -2)

Reorder the terms:
-2(-1 + y) + y = 7(y + -2)
(-1 * -2 + y * -2) + y = 7(y + -2)
(2 + -2y) + y = 7(y + -2)

Combine like terms: -2y + y = -1y
2 + -1y = 7(y + -2)

Reorder the terms:
2 + -1y = 7(-2 + y)
2 + -1y = (-2 * 7 + y * 7)
2 + -1y = (-14 + 7y)

Solving
2 + -1y = -14 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
2 + -1y + -7y = -14 + 7y + -7y

Combine like terms: -1y + -7y = -8y
2 + -8y = -14 + 7y + -7y

Combine like terms: 7y + -7y = 0
2 + -8y = -14 + 0
2 + -8y = -14

Add '-2' to each side of the equation.
2 + -2 + -8y = -14 + -2

Combine like terms: 2 + -2 = 0
0 + -8y = -14 + -2
-8y = -14 + -2

Combine like terms: -14 + -2 = -16
-8y = -16

Divide each side by '-8'.
y = 2

Simplifying
y = 2

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