(y+7)*5-7-(y-4)=3*(9-y)+5

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Solution for (y+7)*5-7-(y-4)=3*(9-y)+5 equation:


Simplifying
(y + 7) * 5 + -7 + -1(y + -4) = 3(9 + -1y) + 5

Reorder the terms:
(7 + y) * 5 + -7 + -1(y + -4) = 3(9 + -1y) + 5

Reorder the terms for easier multiplication:
5(7 + y) + -7 + -1(y + -4) = 3(9 + -1y) + 5
(7 * 5 + y * 5) + -7 + -1(y + -4) = 3(9 + -1y) + 5
(35 + 5y) + -7 + -1(y + -4) = 3(9 + -1y) + 5

Reorder the terms:
35 + 5y + -7 + -1(-4 + y) = 3(9 + -1y) + 5
35 + 5y + -7 + (-4 * -1 + y * -1) = 3(9 + -1y) + 5
35 + 5y + -7 + (4 + -1y) = 3(9 + -1y) + 5

Reorder the terms:
35 + -7 + 4 + 5y + -1y = 3(9 + -1y) + 5

Combine like terms: 35 + -7 = 28
28 + 4 + 5y + -1y = 3(9 + -1y) + 5

Combine like terms: 28 + 4 = 32
32 + 5y + -1y = 3(9 + -1y) + 5

Combine like terms: 5y + -1y = 4y
32 + 4y = 3(9 + -1y) + 5
32 + 4y = (9 * 3 + -1y * 3) + 5
32 + 4y = (27 + -3y) + 5

Reorder the terms:
32 + 4y = 27 + 5 + -3y

Combine like terms: 27 + 5 = 32
32 + 4y = 32 + -3y

Add '-32' to each side of the equation.
32 + -32 + 4y = 32 + -32 + -3y

Combine like terms: 32 + -32 = 0
0 + 4y = 32 + -32 + -3y
4y = 32 + -32 + -3y

Combine like terms: 32 + -32 = 0
4y = 0 + -3y
4y = -3y

Solving
4y = -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.
4y + 3y = -3y + 3y

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

Combine like terms: -3y + 3y = 0
7y = 0

Divide each side by '7'.
y = 0

Simplifying
y = 0

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