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

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


Simplifying
7 + -4(5y + -3) = 2(3 + -1y) + -5

Reorder the terms:
7 + -4(-3 + 5y) = 2(3 + -1y) + -5
7 + (-3 * -4 + 5y * -4) = 2(3 + -1y) + -5
7 + (12 + -20y) = 2(3 + -1y) + -5

Combine like terms: 7 + 12 = 19
19 + -20y = 2(3 + -1y) + -5
19 + -20y = (3 * 2 + -1y * 2) + -5
19 + -20y = (6 + -2y) + -5

Reorder the terms:
19 + -20y = 6 + -5 + -2y

Combine like terms: 6 + -5 = 1
19 + -20y = 1 + -2y

Solving
19 + -20y = 1 + -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.
19 + -20y + 2y = 1 + -2y + 2y

Combine like terms: -20y + 2y = -18y
19 + -18y = 1 + -2y + 2y

Combine like terms: -2y + 2y = 0
19 + -18y = 1 + 0
19 + -18y = 1

Add '-19' to each side of the equation.
19 + -19 + -18y = 1 + -19

Combine like terms: 19 + -19 = 0
0 + -18y = 1 + -19
-18y = 1 + -19

Combine like terms: 1 + -19 = -18
-18y = -18

Divide each side by '-18'.
y = 1

Simplifying
y = 1

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