6(y+6)-8y=30

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Solution for 6(y+6)-8y=30 equation: 


Simplifying
6(y + 6) + -8y = 30

Reorder the terms:
6(6 + y) + -8y = 30
(6 * 6 + y * 6) + -8y = 30
(36 + 6y) + -8y = 30

Combine like terms: 6y + -8y = -2y
36 + -2y = 30

Solving
36 + -2y = 30

Solving for variable 'y'.

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

Add '-36' to each side of the equation.
36 + -36 + -2y = 30 + -36

Combine like terms: 36 + -36 = 0
0 + -2y = 30 + -36
-2y = 30 + -36

Combine like terms: 30 + -36 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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