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

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


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

Reorder the terms:
3 + -4(-5 + y) = 2y + -7
3 + (-5 * -4 + y * -4) = 2y + -7
3 + (20 + -4y) = 2y + -7

Combine like terms: 3 + 20 = 23
23 + -4y = 2y + -7

Reorder the terms:
23 + -4y = -7 + 2y

Solving
23 + -4y = -7 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
23 + -4y + -2y = -7 + 2y + -2y

Combine like terms: -4y + -2y = -6y
23 + -6y = -7 + 2y + -2y

Combine like terms: 2y + -2y = 0
23 + -6y = -7 + 0
23 + -6y = -7

Add '-23' to each side of the equation.
23 + -23 + -6y = -7 + -23

Combine like terms: 23 + -23 = 0
0 + -6y = -7 + -23
-6y = -7 + -23

Combine like terms: -7 + -23 = -30
-6y = -30

Divide each side by '-6'.
y = 5

Simplifying
y = 5

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