-5(y-6)+2(3y-4)=-10

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Solution for -5(y-6)+2(3y-4)=-10 equation: 


Simplifying
-5(y + -6) + 2(3y + -4) = -10

Reorder the terms:
-5(-6 + y) + 2(3y + -4) = -10
(-6 * -5 + y * -5) + 2(3y + -4) = -10
(30 + -5y) + 2(3y + -4) = -10

Reorder the terms:
30 + -5y + 2(-4 + 3y) = -10
30 + -5y + (-4 * 2 + 3y * 2) = -10
30 + -5y + (-8 + 6y) = -10

Reorder the terms:
30 + -8 + -5y + 6y = -10

Combine like terms: 30 + -8 = 22
22 + -5y + 6y = -10

Combine like terms: -5y + 6y = 1y
22 + 1y = -10

Solving
22 + 1y = -10

Solving for variable 'y'.

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

Add '-22' to each side of the equation.
22 + -22 + 1y = -10 + -22

Combine like terms: 22 + -22 = 0
0 + 1y = -10 + -22
1y = -10 + -22

Combine like terms: -10 + -22 = -32
1y = -32

Divide each side by '1'.
y = -32

Simplifying
y = -32

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