(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
32 + 5Y + -1y = (9 * 3 + -1y * 3) + 5
32 + 5Y + -1y = (27 + -3y) + 5

Reorder the terms:
32 + 5Y + -1y = 27 + 5 + -3y

Combine like terms: 27 + 5 = 32
32 + 5Y + -1y = 32 + -3y

Add '-32' to each side of the equation.
32 + 5Y + -32 + -1y = 32 + -32 + -3y

Reorder the terms:
32 + -32 + 5Y + -1y = 32 + -32 + -3y

Combine like terms: 32 + -32 = 0
0 + 5Y + -1y = 32 + -32 + -3y
5Y + -1y = 32 + -32 + -3y

Combine like terms: 32 + -32 = 0
5Y + -1y = 0 + -3y
5Y + -1y = -3y

Solving
5Y + -1y = -3y

Solving for variable 'Y'.

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

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

Combine like terms: -1y + y = 0
5Y + 0 = -3y + y
5Y = -3y + y

Combine like terms: -3y + y = -2y
5Y = -2y

Divide each side by '5'.
Y = -0.4y

Simplifying
Y = -0.4y

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