3(y+6)-2(5y+4)=-30

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Solution for 3(y+6)-2(5y+4)=-30 equation: 


Simplifying
3(y + 6) + -2(5y + 4) = -30

Reorder the terms:
3(6 + y) + -2(5y + 4) = -30
(6 * 3 + y * 3) + -2(5y + 4) = -30
(18 + 3y) + -2(5y + 4) = -30

Reorder the terms:
18 + 3y + -2(4 + 5y) = -30
18 + 3y + (4 * -2 + 5y * -2) = -30
18 + 3y + (-8 + -10y) = -30

Reorder the terms:
18 + -8 + 3y + -10y = -30

Combine like terms: 18 + -8 = 10
10 + 3y + -10y = -30

Combine like terms: 3y + -10y = -7y
10 + -7y = -30

Solving
10 + -7y = -30

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + -7y = -30 + -10

Combine like terms: 10 + -10 = 0
0 + -7y = -30 + -10
-7y = -30 + -10

Combine like terms: -30 + -10 = -40
-7y = -40

Divide each side by '-7'.
y = 5.714285714

Simplifying
y = 5.714285714

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