1-5y+2(y+7)=2y+5(3-y)

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Solution for 1-5y+2(y+7)=2y+5(3-y) equation: 


Simplifying
1 + -5y + 2(y + 7) = 2y + 5(3 + -1y)

Reorder the terms:
1 + -5y + 2(7 + y) = 2y + 5(3 + -1y)
1 + -5y + (7 * 2 + y * 2) = 2y + 5(3 + -1y)
1 + -5y + (14 + 2y) = 2y + 5(3 + -1y)

Reorder the terms:
1 + 14 + -5y + 2y = 2y + 5(3 + -1y)

Combine like terms: 1 + 14 = 15
15 + -5y + 2y = 2y + 5(3 + -1y)

Combine like terms: -5y + 2y = -3y
15 + -3y = 2y + 5(3 + -1y)
15 + -3y = 2y + (3 * 5 + -1y * 5)
15 + -3y = 2y + (15 + -5y)

Reorder the terms:
15 + -3y = 15 + 2y + -5y

Combine like terms: 2y + -5y = -3y
15 + -3y = 15 + -3y

Add '-15' to each side of the equation.
15 + -15 + -3y = 15 + -15 + -3y

Combine like terms: 15 + -15 = 0
0 + -3y = 15 + -15 + -3y
-3y = 15 + -15 + -3y

Combine like terms: 15 + -15 = 0
-3y = 0 + -3y
-3y = -3y

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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