2y-35=5(y-4)

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Solution for 2y-35=5(y-4) equation:


Simplifying
2y + -35 = 5(y + -4)

Reorder the terms:
-35 + 2y = 5(y + -4)

Reorder the terms:
-35 + 2y = 5(-4 + y)
-35 + 2y = (-4 * 5 + y * 5)
-35 + 2y = (-20 + 5y)

Solving
-35 + 2y = -20 + 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.
-35 + 2y + -5y = -20 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-35 + -3y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-35 + -3y = -20 + 0
-35 + -3y = -20

Add '35' to each side of the equation.
-35 + 35 + -3y = -20 + 35

Combine like terms: -35 + 35 = 0
0 + -3y = -20 + 35
-3y = -20 + 35

Combine like terms: -20 + 35 = 15
-3y = 15

Divide each side by '-3'.
y = -5

Simplifying
y = -5

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