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

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


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

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

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

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

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

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

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

Multiply 3 * 9
32 + 5Y + -1y = 27(9 + -1y) + 5
32 + 5Y + -1y = (9 * 27 + -1y * 27) + 5
32 + 5Y + -1y = (243 + -27y) + 5

Reorder the terms:
32 + 5Y + -1y = 243 + 5 + -27y

Combine like terms: 243 + 5 = 248
32 + 5Y + -1y = 248 + -27y

Solving
32 + 5Y + -1y = 248 + -27y

Solving for variable 'Y'.

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

Add '-32' to each side of the equation.
32 + 5Y + -32 + -1y = 248 + -32 + -27y

Reorder the terms:
32 + -32 + 5Y + -1y = 248 + -32 + -27y

Combine like terms: 32 + -32 = 0
0 + 5Y + -1y = 248 + -32 + -27y
5Y + -1y = 248 + -32 + -27y

Combine like terms: 248 + -32 = 216
5Y + -1y = 216 + -27y

Add 'y' to each side of the equation.
5Y + -1y + y = 216 + -27y + y

Combine like terms: -1y + y = 0
5Y + 0 = 216 + -27y + y
5Y = 216 + -27y + y

Combine like terms: -27y + y = -26y
5Y = 216 + -26y

Divide each side by '5'.
Y = 43.2 + -5.2y

Simplifying
Y = 43.2 + -5.2y

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