7(2-5y)=5y+74

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Solution for 7(2-5y)=5y+74 equation: 


Simplifying
7(2 + -5y) = 5y + 74
(2 * 7 + -5y * 7) = 5y + 74
(14 + -35y) = 5y + 74

Reorder the terms:
14 + -35y = 74 + 5y

Solving
14 + -35y = 74 + 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.
14 + -35y + -5y = 74 + 5y + -5y

Combine like terms: -35y + -5y = -40y
14 + -40y = 74 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -40y = 74 + 0
14 + -40y = 74

Add '-14' to each side of the equation.
14 + -14 + -40y = 74 + -14

Combine like terms: 14 + -14 = 0
0 + -40y = 74 + -14
-40y = 74 + -14

Combine like terms: 74 + -14 = 60
-40y = 60

Divide each side by '-40'.
y = -1.5

Simplifying
y = -1.5

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