4(2y-1)-3(2y+9)=-40

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Solution for 4(2y-1)-3(2y+9)=-40 equation: 


Simplifying
4(2y + -1) + -3(2y + 9) = -40

Reorder the terms:
4(-1 + 2y) + -3(2y + 9) = -40
(-1 * 4 + 2y * 4) + -3(2y + 9) = -40
(-4 + 8y) + -3(2y + 9) = -40

Reorder the terms:
-4 + 8y + -3(9 + 2y) = -40
-4 + 8y + (9 * -3 + 2y * -3) = -40
-4 + 8y + (-27 + -6y) = -40

Reorder the terms:
-4 + -27 + 8y + -6y = -40

Combine like terms: -4 + -27 = -31
-31 + 8y + -6y = -40

Combine like terms: 8y + -6y = 2y
-31 + 2y = -40

Solving
-31 + 2y = -40

Solving for variable 'y'.

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

Add '31' to each side of the equation.
-31 + 31 + 2y = -40 + 31

Combine like terms: -31 + 31 = 0
0 + 2y = -40 + 31
2y = -40 + 31

Combine like terms: -40 + 31 = -9
2y = -9

Divide each side by '2'.
y = -4.5

Simplifying
y = -4.5

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