2y+11=5(y-2)-3(y-7)

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Solution for 2y+11=5(y-2)-3(y-7) equation: 


Simplifying
2y + 11 = 5(y + -2) + -3(y + -7)

Reorder the terms:
11 + 2y = 5(y + -2) + -3(y + -7)

Reorder the terms:
11 + 2y = 5(-2 + y) + -3(y + -7)
11 + 2y = (-2 * 5 + y * 5) + -3(y + -7)
11 + 2y = (-10 + 5y) + -3(y + -7)

Reorder the terms:
11 + 2y = -10 + 5y + -3(-7 + y)
11 + 2y = -10 + 5y + (-7 * -3 + y * -3)
11 + 2y = -10 + 5y + (21 + -3y)

Reorder the terms:
11 + 2y = -10 + 21 + 5y + -3y

Combine like terms: -10 + 21 = 11
11 + 2y = 11 + 5y + -3y

Combine like terms: 5y + -3y = 2y
11 + 2y = 11 + 2y

Add '-11' to each side of the equation.
11 + -11 + 2y = 11 + -11 + 2y

Combine like terms: 11 + -11 = 0
0 + 2y = 11 + -11 + 2y
2y = 11 + -11 + 2y

Combine like terms: 11 + -11 = 0
2y = 0 + 2y
2y = 2y

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

Combine like terms: 2y + -2y = 0
0 = 2y + -2y

Combine like terms: 2y + -2y = 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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