5(y+4)=-y+8

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Solution for 5(y+4)=-y+8 equation:


Simplifying
5(y + 4) = -1y + 8

Reorder the terms:
5(4 + y) = -1y + 8
(4 * 5 + y * 5) = -1y + 8
(20 + 5y) = -1y + 8

Reorder the terms:
20 + 5y = 8 + -1y

Solving
20 + 5y = 8 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
20 + 5y + y = 8 + -1y + y

Combine like terms: 5y + y = 6y
20 + 6y = 8 + -1y + y

Combine like terms: -1y + y = 0
20 + 6y = 8 + 0
20 + 6y = 8

Add '-20' to each side of the equation.
20 + -20 + 6y = 8 + -20

Combine like terms: 20 + -20 = 0
0 + 6y = 8 + -20
6y = 8 + -20

Combine like terms: 8 + -20 = -12
6y = -12

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

Simplifying
y = -2

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