4(9y-5)=10(3y+7)-40

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Solution for 4(9y-5)=10(3y+7)-40 equation: 


Simplifying
4(9y + -5) = 10(3y + 7) + -40

Reorder the terms:
4(-5 + 9y) = 10(3y + 7) + -40
(-5 * 4 + 9y * 4) = 10(3y + 7) + -40
(-20 + 36y) = 10(3y + 7) + -40

Reorder the terms:
-20 + 36y = 10(7 + 3y) + -40
-20 + 36y = (7 * 10 + 3y * 10) + -40
-20 + 36y = (70 + 30y) + -40

Reorder the terms:
-20 + 36y = 70 + -40 + 30y

Combine like terms: 70 + -40 = 30
-20 + 36y = 30 + 30y

Solving
-20 + 36y = 30 + 30y

Solving for variable 'y'.

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

Add '-30y' to each side of the equation.
-20 + 36y + -30y = 30 + 30y + -30y

Combine like terms: 36y + -30y = 6y
-20 + 6y = 30 + 30y + -30y

Combine like terms: 30y + -30y = 0
-20 + 6y = 30 + 0
-20 + 6y = 30

Add '20' to each side of the equation.
-20 + 20 + 6y = 30 + 20

Combine like terms: -20 + 20 = 0
0 + 6y = 30 + 20
6y = 30 + 20

Combine like terms: 30 + 20 = 50
6y = 50

Divide each side by '6'.
y = 8.333333333

Simplifying
y = 8.333333333

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