3(6y+12)-(10y-6)+14=0

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Solution for 3(6y+12)-(10y-6)+14=0 equation:


Simplifying
3(6y + 12) + -1(10y + -6) + 14 = 0

Reorder the terms:
3(12 + 6y) + -1(10y + -6) + 14 = 0
(12 * 3 + 6y * 3) + -1(10y + -6) + 14 = 0
(36 + 18y) + -1(10y + -6) + 14 = 0

Reorder the terms:
36 + 18y + -1(-6 + 10y) + 14 = 0
36 + 18y + (-6 * -1 + 10y * -1) + 14 = 0
36 + 18y + (6 + -10y) + 14 = 0

Reorder the terms:
36 + 6 + 14 + 18y + -10y = 0

Combine like terms: 36 + 6 = 42
42 + 14 + 18y + -10y = 0

Combine like terms: 42 + 14 = 56
56 + 18y + -10y = 0

Combine like terms: 18y + -10y = 8y
56 + 8y = 0

Solving
56 + 8y = 0

Solving for variable 'y'.

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

Add '-56' to each side of the equation.
56 + -56 + 8y = 0 + -56

Combine like terms: 56 + -56 = 0
0 + 8y = 0 + -56
8y = 0 + -56

Combine like terms: 0 + -56 = -56
8y = -56

Divide each side by '8'.
y = -7

Simplifying
y = -7

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