7+8(5-2y)+3(4y-6)=7+8(5+2y)+3(4y+6)

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Solution for 7+8(5-2y)+3(4y-6)=7+8(5+2y)+3(4y+6) equation: 


Simplifying
7 + 8(5 + -2y) + 3(4y + -6) = 7 + 8(5 + 2y) + 3(4y + 6)
7 + (5 * 8 + -2y * 8) + 3(4y + -6) = 7 + 8(5 + 2y) + 3(4y + 6)
7 + (40 + -16y) + 3(4y + -6) = 7 + 8(5 + 2y) + 3(4y + 6)

Reorder the terms:
7 + 40 + -16y + 3(-6 + 4y) = 7 + 8(5 + 2y) + 3(4y + 6)
7 + 40 + -16y + (-6 * 3 + 4y * 3) = 7 + 8(5 + 2y) + 3(4y + 6)
7 + 40 + -16y + (-18 + 12y) = 7 + 8(5 + 2y) + 3(4y + 6)

Reorder the terms:
7 + 40 + -18 + -16y + 12y = 7 + 8(5 + 2y) + 3(4y + 6)

Combine like terms: 7 + 40 = 47
47 + -18 + -16y + 12y = 7 + 8(5 + 2y) + 3(4y + 6)

Combine like terms: 47 + -18 = 29
29 + -16y + 12y = 7 + 8(5 + 2y) + 3(4y + 6)

Combine like terms: -16y + 12y = -4y
29 + -4y = 7 + 8(5 + 2y) + 3(4y + 6)
29 + -4y = 7 + (5 * 8 + 2y * 8) + 3(4y + 6)
29 + -4y = 7 + (40 + 16y) + 3(4y + 6)

Reorder the terms:
29 + -4y = 7 + 40 + 16y + 3(6 + 4y)
29 + -4y = 7 + 40 + 16y + (6 * 3 + 4y * 3)
29 + -4y = 7 + 40 + 16y + (18 + 12y)

Reorder the terms:
29 + -4y = 7 + 40 + 18 + 16y + 12y

Combine like terms: 7 + 40 = 47
29 + -4y = 47 + 18 + 16y + 12y

Combine like terms: 47 + 18 = 65
29 + -4y = 65 + 16y + 12y

Combine like terms: 16y + 12y = 28y
29 + -4y = 65 + 28y

Solving
29 + -4y = 65 + 28y

Solving for variable 'y'.

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

Add '-28y' to each side of the equation.
29 + -4y + -28y = 65 + 28y + -28y

Combine like terms: -4y + -28y = -32y
29 + -32y = 65 + 28y + -28y

Combine like terms: 28y + -28y = 0
29 + -32y = 65 + 0
29 + -32y = 65

Add '-29' to each side of the equation.
29 + -29 + -32y = 65 + -29

Combine like terms: 29 + -29 = 0
0 + -32y = 65 + -29
-32y = 65 + -29

Combine like terms: 65 + -29 = 36
-32y = 36

Divide each side by '-32'.
y = -1.125

Simplifying
y = -1.125

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