8(y+5)+y=4(y+3)-8

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Solution for 8(y+5)+y=4(y+3)-8 equation: 


Simplifying
8(y + 5) + y = 4(y + 3) + -8

Reorder the terms:
8(5 + y) + y = 4(y + 3) + -8
(5 * 8 + y * 8) + y = 4(y + 3) + -8
(40 + 8y) + y = 4(y + 3) + -8

Combine like terms: 8y + y = 9y
40 + 9y = 4(y + 3) + -8

Reorder the terms:
40 + 9y = 4(3 + y) + -8
40 + 9y = (3 * 4 + y * 4) + -8
40 + 9y = (12 + 4y) + -8

Reorder the terms:
40 + 9y = 12 + -8 + 4y

Combine like terms: 12 + -8 = 4
40 + 9y = 4 + 4y

Solving
40 + 9y = 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.
40 + 9y + -4y = 4 + 4y + -4y

Combine like terms: 9y + -4y = 5y
40 + 5y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
40 + 5y = 4 + 0
40 + 5y = 4

Add '-40' to each side of the equation.
40 + -40 + 5y = 4 + -40

Combine like terms: 40 + -40 = 0
0 + 5y = 4 + -40
5y = 4 + -40

Combine like terms: 4 + -40 = -36
5y = -36

Divide each side by '5'.
y = -7.2

Simplifying
y = -7.2

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