3(y+3)-4(2y-7)=-5y+2

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Solution for 3(y+3)-4(2y-7)=-5y+2 equation: 


Simplifying
3(y + 3) + -4(2y + -7) = -5y + 2

Reorder the terms:
3(3 + y) + -4(2y + -7) = -5y + 2
(3 * 3 + y * 3) + -4(2y + -7) = -5y + 2
(9 + 3y) + -4(2y + -7) = -5y + 2

Reorder the terms:
9 + 3y + -4(-7 + 2y) = -5y + 2
9 + 3y + (-7 * -4 + 2y * -4) = -5y + 2
9 + 3y + (28 + -8y) = -5y + 2

Reorder the terms:
9 + 28 + 3y + -8y = -5y + 2

Combine like terms: 9 + 28 = 37
37 + 3y + -8y = -5y + 2

Combine like terms: 3y + -8y = -5y
37 + -5y = -5y + 2

Reorder the terms:
37 + -5y = 2 + -5y

Add '5y' to each side of the equation.
37 + -5y + 5y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
37 + 0 = 2 + -5y + 5y
37 = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
37 = 2 + 0
37 = 2

Solving
37 = 2

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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