10(3y-13)=23(y+40)

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Solution for 10(3y-13)=23(y+40) equation: 


Simplifying
10(3y + -13) = 23(y + 40)

Reorder the terms:
10(-13 + 3y) = 23(y + 40)
(-13 * 10 + 3y * 10) = 23(y + 40)
(-130 + 30y) = 23(y + 40)

Reorder the terms:
-130 + 30y = 23(40 + y)
-130 + 30y = (40 * 23 + y * 23)
-130 + 30y = (920 + 23y)

Solving
-130 + 30y = 920 + 23y

Solving for variable 'y'.

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

Add '-23y' to each side of the equation.
-130 + 30y + -23y = 920 + 23y + -23y

Combine like terms: 30y + -23y = 7y
-130 + 7y = 920 + 23y + -23y

Combine like terms: 23y + -23y = 0
-130 + 7y = 920 + 0
-130 + 7y = 920

Add '130' to each side of the equation.
-130 + 130 + 7y = 920 + 130

Combine like terms: -130 + 130 = 0
0 + 7y = 920 + 130
7y = 920 + 130

Combine like terms: 920 + 130 = 1050
7y = 1050

Divide each side by '7'.
y = 150

Simplifying
y = 150

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