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Simplifying -2y + -32 = 5(y + 2) Reorder the terms: -32 + -2y = 5(y + 2) Reorder the terms: -32 + -2y = 5(2 + y) -32 + -2y = (2 * 5 + y * 5) -32 + -2y = (10 + 5y) Solving -32 + -2y = 10 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -32 + -2y + -5y = 10 + 5y + -5y Combine like terms: -2y + -5y = -7y -32 + -7y = 10 + 5y + -5y Combine like terms: 5y + -5y = 0 -32 + -7y = 10 + 0 -32 + -7y = 10 Add '32' to each side of the equation. -32 + 32 + -7y = 10 + 32 Combine like terms: -32 + 32 = 0 0 + -7y = 10 + 32 -7y = 10 + 32 Combine like terms: 10 + 32 = 42 -7y = 42 Divide each side by '-7'. y = -6 Simplifying y = -6
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