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

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Solution for 7-4(3y-1)+5y=3(3-y) equation: 


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

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

Combine like terms: 7 + 4 = 11
11 + -12y + 5y = 3(3 + -1y)

Combine like terms: -12y + 5y = -7y
11 + -7y = 3(3 + -1y)
11 + -7y = (3 * 3 + -1y * 3)
11 + -7y = (9 + -3y)

Solving
11 + -7y = 9 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
11 + -7y + 3y = 9 + -3y + 3y

Combine like terms: -7y + 3y = -4y
11 + -4y = 9 + -3y + 3y

Combine like terms: -3y + 3y = 0
11 + -4y = 9 + 0
11 + -4y = 9

Add '-11' to each side of the equation.
11 + -11 + -4y = 9 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = 9 + -11
-4y = 9 + -11

Combine like terms: 9 + -11 = -2
-4y = -2

Divide each side by '-4'.
y = 0.5

Simplifying
y = 0.5

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