2y-10=5(y+7)

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Solution for 2y-10=5(y+7) equation:


Simplifying
2y + -10 = 5(y + 7)

Reorder the terms:
-10 + 2y = 5(y + 7)

Reorder the terms:
-10 + 2y = 5(7 + y)
-10 + 2y = (7 * 5 + y * 5)
-10 + 2y = (35 + 5y)

Solving
-10 + 2y = 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.
-10 + 2y + -5y = 35 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-10 + -3y = 35 + 5y + -5y

Combine like terms: 5y + -5y = 0
-10 + -3y = 35 + 0
-10 + -3y = 35

Add '10' to each side of the equation.
-10 + 10 + -3y = 35 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 35 + 10
-3y = 35 + 10

Combine like terms: 35 + 10 = 45
-3y = 45

Divide each side by '-3'.
y = -15

Simplifying
y = -15

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