(5y+6)-(6y-6)=(24y+45)-(-4y+60)

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Solution for (5y+6)-(6y-6)=(24y+45)-(-4y+60) equation: 


Simplifying
(5y + 6) + -1(6y + -6) = (24y + 45) + -1(-4y + 60)

Reorder the terms:
(6 + 5y) + -1(6y + -6) = (24y + 45) + -1(-4y + 60)

Remove parenthesis around (6 + 5y)
6 + 5y + -1(6y + -6) = (24y + 45) + -1(-4y + 60)

Reorder the terms:
6 + 5y + -1(-6 + 6y) = (24y + 45) + -1(-4y + 60)
6 + 5y + (-6 * -1 + 6y * -1) = (24y + 45) + -1(-4y + 60)
6 + 5y + (6 + -6y) = (24y + 45) + -1(-4y + 60)

Reorder the terms:
6 + 6 + 5y + -6y = (24y + 45) + -1(-4y + 60)

Combine like terms: 6 + 6 = 12
12 + 5y + -6y = (24y + 45) + -1(-4y + 60)

Combine like terms: 5y + -6y = -1y
12 + -1y = (24y + 45) + -1(-4y + 60)

Reorder the terms:
12 + -1y = (45 + 24y) + -1(-4y + 60)

Remove parenthesis around (45 + 24y)
12 + -1y = 45 + 24y + -1(-4y + 60)

Reorder the terms:
12 + -1y = 45 + 24y + -1(60 + -4y)
12 + -1y = 45 + 24y + (60 * -1 + -4y * -1)
12 + -1y = 45 + 24y + (-60 + 4y)

Reorder the terms:
12 + -1y = 45 + -60 + 24y + 4y

Combine like terms: 45 + -60 = -15
12 + -1y = -15 + 24y + 4y

Combine like terms: 24y + 4y = 28y
12 + -1y = -15 + 28y

Solving
12 + -1y = -15 + 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.
12 + -1y + -28y = -15 + 28y + -28y

Combine like terms: -1y + -28y = -29y
12 + -29y = -15 + 28y + -28y

Combine like terms: 28y + -28y = 0
12 + -29y = -15 + 0
12 + -29y = -15

Add '-12' to each side of the equation.
12 + -12 + -29y = -15 + -12

Combine like terms: 12 + -12 = 0
0 + -29y = -15 + -12
-29y = -15 + -12

Combine like terms: -15 + -12 = -27
-29y = -27

Divide each side by '-29'.
y = 0.9310344828

Simplifying
y = 0.9310344828

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