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Simplifying 7 + -3(-2y + 5) + 2y = -32 Reorder the terms: 7 + -3(5 + -2y) + 2y = -32 7 + (5 * -3 + -2y * -3) + 2y = -32 7 + (-15 + 6y) + 2y = -32 Combine like terms: 7 + -15 = -8 -8 + 6y + 2y = -32 Combine like terms: 6y + 2y = 8y -8 + 8y = -32 Solving -8 + 8y = -32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 8y = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 8y = -32 + 8 8y = -32 + 8 Combine like terms: -32 + 8 = -24 8y = -24 Divide each side by '8'. y = -3 Simplifying y = -3
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