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

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


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

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

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

Multiply 10 * 20
-20 + 36y = 200 + -40

Combine like terms: 200 + -40 = 160
-20 + 36y = 160

Solving
-20 + 36y = 160

Solving for variable 'y'.

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

Add '20' to each side of the equation.
-20 + 20 + 36y = 160 + 20

Combine like terms: -20 + 20 = 0
0 + 36y = 160 + 20
36y = 160 + 20

Combine like terms: 160 + 20 = 180
36y = 180

Divide each side by '36'.
y = 5

Simplifying
y = 5

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