6(y+3)=6+8(y-1)

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Solution for 6(y+3)=6+8(y-1) equation: 


Simplifying
6(y + 3) = 6 + 8(y + -1)

Reorder the terms:
6(3 + y) = 6 + 8(y + -1)
(3 * 6 + y * 6) = 6 + 8(y + -1)
(18 + 6y) = 6 + 8(y + -1)

Reorder the terms:
18 + 6y = 6 + 8(-1 + y)
18 + 6y = 6 + (-1 * 8 + y * 8)
18 + 6y = 6 + (-8 + 8y)

Combine like terms: 6 + -8 = -2
18 + 6y = -2 + 8y

Solving
18 + 6y = -2 + 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.
18 + 6y + -8y = -2 + 8y + -8y

Combine like terms: 6y + -8y = -2y
18 + -2y = -2 + 8y + -8y

Combine like terms: 8y + -8y = 0
18 + -2y = -2 + 0
18 + -2y = -2

Add '-18' to each side of the equation.
18 + -18 + -2y = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -2y = -2 + -18
-2y = -2 + -18

Combine like terms: -2 + -18 = -20
-2y = -20

Divide each side by '-2'.
y = 10

Simplifying
y = 10

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