4(y+2)=-y+13

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Solution for 4(y+2)=-y+13 equation: 


Simplifying
4(y + 2) = -1y + 13

Reorder the terms:
4(2 + y) = -1y + 13
(2 * 4 + y * 4) = -1y + 13
(8 + 4y) = -1y + 13

Reorder the terms:
8 + 4y = 13 + -1y

Solving
8 + 4y = 13 + -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.
8 + 4y + y = 13 + -1y + y

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

Combine like terms: -1y + y = 0
8 + 5y = 13 + 0
8 + 5y = 13

Add '-8' to each side of the equation.
8 + -8 + 5y = 13 + -8

Combine like terms: 8 + -8 = 0
0 + 5y = 13 + -8
5y = 13 + -8

Combine like terms: 13 + -8 = 5
5y = 5

Divide each side by '5'.
y = 1

Simplifying
y = 1

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