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

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


Simplifying
3(4 + -5y) + -2(7 + -4y) = -5y
(4 * 3 + -5y * 3) + -2(7 + -4y) = -5y
(12 + -15y) + -2(7 + -4y) = -5y
12 + -15y + (7 * -2 + -4y * -2) = -5y
12 + -15y + (-14 + 8y) = -5y

Reorder the terms:
12 + -14 + -15y + 8y = -5y

Combine like terms: 12 + -14 = -2
-2 + -15y + 8y = -5y

Combine like terms: -15y + 8y = -7y
-2 + -7y = -5y

Solving
-2 + -7y = -5y

Solving for variable 'y'.

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

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

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

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

Add '2' to each side of the equation.
-2 + 2 + -2y = 0 + 2

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

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

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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