-5(8+2y)+3(8-3y)=30

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Solution for -5(8+2y)+3(8-3y)=30 equation: 


Simplifying
-5(8 + 2y) + 3(8 + -3y) = 30
(8 * -5 + 2y * -5) + 3(8 + -3y) = 30
(-40 + -10y) + 3(8 + -3y) = 30
-40 + -10y + (8 * 3 + -3y * 3) = 30
-40 + -10y + (24 + -9y) = 30

Reorder the terms:
-40 + 24 + -10y + -9y = 30

Combine like terms: -40 + 24 = -16
-16 + -10y + -9y = 30

Combine like terms: -10y + -9y = -19y
-16 + -19y = 30

Solving
-16 + -19y = 30

Solving for variable 'y'.

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

Add '16' to each side of the equation.
-16 + 16 + -19y = 30 + 16

Combine like terms: -16 + 16 = 0
0 + -19y = 30 + 16
-19y = 30 + 16

Combine like terms: 30 + 16 = 46
-19y = 46

Divide each side by '-19'.
y = -2.421052632

Simplifying
y = -2.421052632

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