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