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Simplifying y + -32 = 7(-1y + -8) Reorder the terms: -32 + y = 7(-1y + -8) Reorder the terms: -32 + y = 7(-8 + -1y) -32 + y = (-8 * 7 + -1y * 7) -32 + y = (-56 + -7y) Solving -32 + y = -56 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -32 + y + 7y = -56 + -7y + 7y Combine like terms: y + 7y = 8y -32 + 8y = -56 + -7y + 7y Combine like terms: -7y + 7y = 0 -32 + 8y = -56 + 0 -32 + 8y = -56 Add '32' to each side of the equation. -32 + 32 + 8y = -56 + 32 Combine like terms: -32 + 32 = 0 0 + 8y = -56 + 32 8y = -56 + 32 Combine like terms: -56 + 32 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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