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

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


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

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

Reorder the terms:
-20 + 36y = 10(17 + 3x) + -40
-20 + 36y = (17 * 10 + 3x * 10) + -40
-20 + 36y = (170 + 30x) + -40

Reorder the terms:
-20 + 36y = 170 + -40 + 30x

Combine like terms: 170 + -40 = 130
-20 + 36y = 130 + 30x

Solving
-20 + 36y = 130 + 30x

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 = 130 + 20 + 30x

Combine like terms: -20 + 20 = 0
0 + 36y = 130 + 20 + 30x
36y = 130 + 20 + 30x

Combine like terms: 130 + 20 = 150
36y = 150 + 30x

Divide each side by '36'.
y = 4.166666667 + 0.8333333333x

Simplifying
y = 4.166666667 + 0.8333333333x

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