4(9y-5)=1(3y+17)-40

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Solution for 4(9y-5)=1(3y+17)-40 equation: 


Simplifying
4(9y + -5) = 1(3y + 17) + -40

Reorder the terms:
4(-5 + 9y) = 1(3y + 17) + -40
(-5 * 4 + 9y * 4) = 1(3y + 17) + -40
(-20 + 36y) = 1(3y + 17) + -40

Reorder the terms:
-20 + 36y = 1(17 + 3y) + -40
-20 + 36y = (17 * 1 + 3y * 1) + -40
-20 + 36y = (17 + 3y) + -40

Reorder the terms:
-20 + 36y = 17 + -40 + 3y

Combine like terms: 17 + -40 = -23
-20 + 36y = -23 + 3y

Solving
-20 + 36y = -23 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-20 + 36y + -3y = -23 + 3y + -3y

Combine like terms: 36y + -3y = 33y
-20 + 33y = -23 + 3y + -3y

Combine like terms: 3y + -3y = 0
-20 + 33y = -23 + 0
-20 + 33y = -23

Add '20' to each side of the equation.
-20 + 20 + 33y = -23 + 20

Combine like terms: -20 + 20 = 0
0 + 33y = -23 + 20
33y = -23 + 20

Combine like terms: -23 + 20 = -3
33y = -3

Divide each side by '33'.
y = -0.09090909091

Simplifying
y = -0.09090909091

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