-2(y-1)+y=5(y-2)

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Solution for -2(y-1)+y=5(y-2) equation: 


Simplifying
-2(y + -1) + y = 5(y + -2)

Reorder the terms:
-2(-1 + y) + y = 5(y + -2)
(-1 * -2 + y * -2) + y = 5(y + -2)
(2 + -2y) + y = 5(y + -2)

Combine like terms: -2y + y = -1y
2 + -1y = 5(y + -2)

Reorder the terms:
2 + -1y = 5(-2 + y)
2 + -1y = (-2 * 5 + y * 5)
2 + -1y = (-10 + 5y)

Solving
2 + -1y = -10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
2 + -1y + -5y = -10 + 5y + -5y

Combine like terms: -1y + -5y = -6y
2 + -6y = -10 + 5y + -5y

Combine like terms: 5y + -5y = 0
2 + -6y = -10 + 0
2 + -6y = -10

Add '-2' to each side of the equation.
2 + -2 + -6y = -10 + -2

Combine like terms: 2 + -2 = 0
0 + -6y = -10 + -2
-6y = -10 + -2

Combine like terms: -10 + -2 = -12
-6y = -12

Divide each side by '-6'.
y = 2

Simplifying
y = 2

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