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Simplifying 5(y + -2) + -7y = -32 Reorder the terms: 5(-2 + y) + -7y = -32 (-2 * 5 + y * 5) + -7y = -32 (-10 + 5y) + -7y = -32 Combine like terms: 5y + -7y = -2y -10 + -2y = -32 Solving -10 + -2y = -32 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -2y = -32 + 10 Combine like terms: -10 + 10 = 0 0 + -2y = -32 + 10 -2y = -32 + 10 Combine like terms: -32 + 10 = -22 -2y = -22 Divide each side by '-2'. y = 11 Simplifying y = 11
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