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

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


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

Reorder the terms:
7y + -10(2 + y) = 2(y + 5)
7y + (2 * -10 + y * -10) = 2(y + 5)
7y + (-20 + -10y) = 2(y + 5)

Reorder the terms:
-20 + 7y + -10y = 2(y + 5)

Combine like terms: 7y + -10y = -3y
-20 + -3y = 2(y + 5)

Reorder the terms:
-20 + -3y = 2(5 + y)
-20 + -3y = (5 * 2 + y * 2)
-20 + -3y = (10 + 2y)

Solving
-20 + -3y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-20 + -3y + -2y = 10 + 2y + -2y

Combine like terms: -3y + -2y = -5y
-20 + -5y = 10 + 2y + -2y

Combine like terms: 2y + -2y = 0
-20 + -5y = 10 + 0
-20 + -5y = 10

Add '20' to each side of the equation.
-20 + 20 + -5y = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -5y = 10 + 20
-5y = 10 + 20

Combine like terms: 10 + 20 = 30
-5y = 30

Divide each side by '-5'.
y = -6

Simplifying
y = -6

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