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

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


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

Reorder the terms:
2(5 + y) = (y + -1) * 4
(5 * 2 + y * 2) = (y + -1) * 4
(10 + 2y) = (y + -1) * 4

Reorder the terms:
10 + 2y = (-1 + y) * 4

Reorder the terms for easier multiplication:
10 + 2y = 4(-1 + y)
10 + 2y = (-1 * 4 + y * 4)
10 + 2y = (-4 + 4y)

Solving
10 + 2y = -4 + 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.
10 + 2y + -4y = -4 + 4y + -4y

Combine like terms: 2y + -4y = -2y
10 + -2y = -4 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + -2y = -4 + 0
10 + -2y = -4

Add '-10' to each side of the equation.
10 + -10 + -2y = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2y = -4 + -10
-2y = -4 + -10

Combine like terms: -4 + -10 = -14
-2y = -14

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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