-y+2=-5+4(y-2)

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Solution for -y+2=-5+4(y-2) equation: 


Simplifying
-1y + 2 = -5 + 4(y + -2)

Reorder the terms:
2 + -1y = -5 + 4(y + -2)

Reorder the terms:
2 + -1y = -5 + 4(-2 + y)
2 + -1y = -5 + (-2 * 4 + y * 4)
2 + -1y = -5 + (-8 + 4y)

Combine like terms: -5 + -8 = -13
2 + -1y = -13 + 4y

Solving
2 + -1y = -13 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + -1y + -4y = -13 + 4y + -4y

Combine like terms: -1y + -4y = -5y
2 + -5y = -13 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + -5y = -13 + 0
2 + -5y = -13

Add '-2' to each side of the equation.
2 + -2 + -5y = -13 + -2

Combine like terms: 2 + -2 = 0
0 + -5y = -13 + -2
-5y = -13 + -2

Combine like terms: -13 + -2 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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