8(y+6)+y=4(y+4)-8

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Solution for 8(y+6)+y=4(y+4)-8 equation: 


Simplifying
8(y + 6) + y = 4(y + 4) + -8

Reorder the terms:
8(6 + y) + y = 4(y + 4) + -8
(6 * 8 + y * 8) + y = 4(y + 4) + -8
(48 + 8y) + y = 4(y + 4) + -8

Combine like terms: 8y + y = 9y
48 + 9y = 4(y + 4) + -8

Reorder the terms:
48 + 9y = 4(4 + y) + -8
48 + 9y = (4 * 4 + y * 4) + -8
48 + 9y = (16 + 4y) + -8

Reorder the terms:
48 + 9y = 16 + -8 + 4y

Combine like terms: 16 + -8 = 8
48 + 9y = 8 + 4y

Solving
48 + 9y = 8 + 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.
48 + 9y + -4y = 8 + 4y + -4y

Combine like terms: 9y + -4y = 5y
48 + 5y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
48 + 5y = 8 + 0
48 + 5y = 8

Add '-48' to each side of the equation.
48 + -48 + 5y = 8 + -48

Combine like terms: 48 + -48 = 0
0 + 5y = 8 + -48
5y = 8 + -48

Combine like terms: 8 + -48 = -40
5y = -40

Divide each side by '5'.
y = -8

Simplifying
y = -8

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