2(y+5)=7y-5

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


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

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

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

Solving
10 + 2y = -5 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
10 + 2y + -7y = -5 + 7y + -7y

Combine like terms: 2y + -7y = -5y
10 + -5y = -5 + 7y + -7y

Combine like terms: 7y + -7y = 0
10 + -5y = -5 + 0
10 + -5y = -5

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

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

Combine like terms: -5 + -10 = -15
-5y = -15

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

Simplifying
y = 3

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