5y+8+2y=8(y+6)

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Solution for 5y+8+2y=8(y+6) equation: 


Simplifying
5y + 8 + 2y = 8(y + 6)

Reorder the terms:
8 + 5y + 2y = 8(y + 6)

Combine like terms: 5y + 2y = 7y
8 + 7y = 8(y + 6)

Reorder the terms:
8 + 7y = 8(6 + y)
8 + 7y = (6 * 8 + y * 8)
8 + 7y = (48 + 8y)

Solving
8 + 7y = 48 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
8 + 7y + -8y = 48 + 8y + -8y

Combine like terms: 7y + -8y = -1y
8 + -1y = 48 + 8y + -8y

Combine like terms: 8y + -8y = 0
8 + -1y = 48 + 0
8 + -1y = 48

Add '-8' to each side of the equation.
8 + -8 + -1y = 48 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 48 + -8
-1y = 48 + -8

Combine like terms: 48 + -8 = 40
-1y = 40

Divide each side by '-1'.
y = -40

Simplifying
y = -40

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