4(9y-5)=10+(3y+17)-40

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Solution for 4(9y-5)=10+(3y+17)-40 equation: 


Simplifying
4(9y + -5) = 10 + (3y + 17) + -40

Reorder the terms:
4(-5 + 9y) = 10 + (3y + 17) + -40
(-5 * 4 + 9y * 4) = 10 + (3y + 17) + -40
(-20 + 36y) = 10 + (3y + 17) + -40

Reorder the terms:
-20 + 36y = 10 + (17 + 3y) + -40

Remove parenthesis around (17 + 3y)
-20 + 36y = 10 + 17 + 3y + -40

Reorder the terms:
-20 + 36y = 10 + 17 + -40 + 3y

Combine like terms: 10 + 17 = 27
-20 + 36y = 27 + -40 + 3y

Combine like terms: 27 + -40 = -13
-20 + 36y = -13 + 3y

Solving
-20 + 36y = -13 + 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 = -13 + 3y + -3y

Combine like terms: 36y + -3y = 33y
-20 + 33y = -13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-20 + 33y = -13 + 0
-20 + 33y = -13

Add '20' to each side of the equation.
-20 + 20 + 33y = -13 + 20

Combine like terms: -20 + 20 = 0
0 + 33y = -13 + 20
33y = -13 + 20

Combine like terms: -13 + 20 = 7
33y = 7

Divide each side by '33'.
y = 0.2121212121

Simplifying
y = 0.2121212121

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