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

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


Simplifying
4 + -3(7 + -1y) = y + -5
4 + (7 * -3 + -1y * -3) = y + -5
4 + (-21 + 3y) = y + -5

Combine like terms: 4 + -21 = -17
-17 + 3y = y + -5

Reorder the terms:
-17 + 3y = -5 + y

Solving
-17 + 3y = -5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-17 + 3y + -1y = -5 + y + -1y

Combine like terms: 3y + -1y = 2y
-17 + 2y = -5 + y + -1y

Combine like terms: y + -1y = 0
-17 + 2y = -5 + 0
-17 + 2y = -5

Add '17' to each side of the equation.
-17 + 17 + 2y = -5 + 17

Combine like terms: -17 + 17 = 0
0 + 2y = -5 + 17
2y = -5 + 17

Combine like terms: -5 + 17 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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