-56=7(3y+5)-4(8y+9)

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Solution for -56=7(3y+5)-4(8y+9) equation:


Simplifying
-56 = 7(3y + 5) + -4(8y + 9)

Reorder the terms:
-56 = 7(5 + 3y) + -4(8y + 9)
-56 = (5 * 7 + 3y * 7) + -4(8y + 9)
-56 = (35 + 21y) + -4(8y + 9)

Reorder the terms:
-56 = 35 + 21y + -4(9 + 8y)
-56 = 35 + 21y + (9 * -4 + 8y * -4)
-56 = 35 + 21y + (-36 + -32y)

Reorder the terms:
-56 = 35 + -36 + 21y + -32y

Combine like terms: 35 + -36 = -1
-56 = -1 + 21y + -32y

Combine like terms: 21y + -32y = -11y
-56 = -1 + -11y

Solving
-56 = -1 + -11y

Solving for variable 'y'.

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

Add '11y' to each side of the equation.
-56 + 11y = -1 + -11y + 11y

Combine like terms: -11y + 11y = 0
-56 + 11y = -1 + 0
-56 + 11y = -1

Add '56' to each side of the equation.
-56 + 56 + 11y = -1 + 56

Combine like terms: -56 + 56 = 0
0 + 11y = -1 + 56
11y = -1 + 56

Combine like terms: -1 + 56 = 55
11y = 55

Divide each side by '11'.
y = 5

Simplifying
y = 5

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