5(3y-10)=-12y+7y-35

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Solution for 5(3y-10)=-12y+7y-35 equation: 


Simplifying
5(3y + -10) = -12y + 7y + -35

Reorder the terms:
5(-10 + 3y) = -12y + 7y + -35
(-10 * 5 + 3y * 5) = -12y + 7y + -35
(-50 + 15y) = -12y + 7y + -35

Reorder the terms:
-50 + 15y = -35 + -12y + 7y

Combine like terms: -12y + 7y = -5y
-50 + 15y = -35 + -5y

Solving
-50 + 15y = -35 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
-50 + 15y + 5y = -35 + -5y + 5y

Combine like terms: 15y + 5y = 20y
-50 + 20y = -35 + -5y + 5y

Combine like terms: -5y + 5y = 0
-50 + 20y = -35 + 0
-50 + 20y = -35

Add '50' to each side of the equation.
-50 + 50 + 20y = -35 + 50

Combine like terms: -50 + 50 = 0
0 + 20y = -35 + 50
20y = -35 + 50

Combine like terms: -35 + 50 = 15
20y = 15

Divide each side by '20'.
y = 0.75

Simplifying
y = 0.75

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