y=5x-8(4x+3y+33)

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Solution for y=5x-8(4x+3y+33) equation:


Simplifying
y = 5x + -8(4x + 3y + 33)

Reorder the terms:
y = 5x + -8(33 + 4x + 3y)
y = 5x + (33 * -8 + 4x * -8 + 3y * -8)
y = 5x + (-264 + -32x + -24y)

Reorder the terms:
y = -264 + 5x + -32x + -24y

Combine like terms: 5x + -32x = -27x
y = -264 + -27x + -24y

Solving
y = -264 + -27x + -24y

Solving for variable 'y'.

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

Add '24y' to each side of the equation.
y + 24y = -264 + -27x + -24y + 24y

Combine like terms: y + 24y = 25y
25y = -264 + -27x + -24y + 24y

Combine like terms: -24y + 24y = 0
25y = -264 + -27x + 0
25y = -264 + -27x

Divide each side by '25'.
y = -10.56 + -1.08x

Simplifying
y = -10.56 + -1.08x

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