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

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Solution for 4(y+5)=2(y-1) equation: 


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

Reorder the terms:
4(5 + y) = 2(y + -1)
(5 * 4 + y * 4) = 2(y + -1)
(20 + 4y) = 2(y + -1)

Reorder the terms:
20 + 4y = 2(-1 + y)
20 + 4y = (-1 * 2 + y * 2)
20 + 4y = (-2 + 2y)

Solving
20 + 4y = -2 + 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.
20 + 4y + -2y = -2 + 2y + -2y

Combine like terms: 4y + -2y = 2y
20 + 2y = -2 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + 2y = -2 + 0
20 + 2y = -2

Add '-20' to each side of the equation.
20 + -20 + 2y = -2 + -20

Combine like terms: 20 + -20 = 0
0 + 2y = -2 + -20
2y = -2 + -20

Combine like terms: -2 + -20 = -22
2y = -22

Divide each side by '2'.
y = -11

Simplifying
y = -11

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