2(y+1)-(y-5)=4(y-2)-3(y-5)

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Solution for 2(y+1)-(y-5)=4(y-2)-3(y-5) equation: 


Simplifying
2(y + 1) + -1(y + -5) = 4(y + -2) + -3(y + -5)

Reorder the terms:
2(1 + y) + -1(y + -5) = 4(y + -2) + -3(y + -5)
(1 * 2 + y * 2) + -1(y + -5) = 4(y + -2) + -3(y + -5)
(2 + 2y) + -1(y + -5) = 4(y + -2) + -3(y + -5)

Reorder the terms:
2 + 2y + -1(-5 + y) = 4(y + -2) + -3(y + -5)
2 + 2y + (-5 * -1 + y * -1) = 4(y + -2) + -3(y + -5)
2 + 2y + (5 + -1y) = 4(y + -2) + -3(y + -5)

Reorder the terms:
2 + 5 + 2y + -1y = 4(y + -2) + -3(y + -5)

Combine like terms: 2 + 5 = 7
7 + 2y + -1y = 4(y + -2) + -3(y + -5)

Combine like terms: 2y + -1y = 1y
7 + 1y = 4(y + -2) + -3(y + -5)

Reorder the terms:
7 + 1y = 4(-2 + y) + -3(y + -5)
7 + 1y = (-2 * 4 + y * 4) + -3(y + -5)
7 + 1y = (-8 + 4y) + -3(y + -5)

Reorder the terms:
7 + 1y = -8 + 4y + -3(-5 + y)
7 + 1y = -8 + 4y + (-5 * -3 + y * -3)
7 + 1y = -8 + 4y + (15 + -3y)

Reorder the terms:
7 + 1y = -8 + 15 + 4y + -3y

Combine like terms: -8 + 15 = 7
7 + 1y = 7 + 4y + -3y

Combine like terms: 4y + -3y = 1y
7 + 1y = 7 + 1y

Add '-7' to each side of the equation.
7 + -7 + 1y = 7 + -7 + 1y

Combine like terms: 7 + -7 = 0
0 + 1y = 7 + -7 + 1y
1y = 7 + -7 + 1y

Combine like terms: 7 + -7 = 0
1y = 0 + 1y
1y = 1y

Add '-1y' to each side of the equation.
1y + -1y = 1y + -1y

Combine like terms: 1y + -1y = 0
0 = 1y + -1y

Combine like terms: 1y + -1y = 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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