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Simplifying -3y + -32 = 5y + 116 Reorder the terms: -32 + -3y = 5y + 116 Reorder the terms: -32 + -3y = 116 + 5y Solving -32 + -3y = 116 + 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 + -3y + -5y = 116 + 5y + -5y Combine like terms: -3y + -5y = -8y -32 + -8y = 116 + 5y + -5y Combine like terms: 5y + -5y = 0 -32 + -8y = 116 + 0 -32 + -8y = 116 Add '32' to each side of the equation. -32 + 32 + -8y = 116 + 32 Combine like terms: -32 + 32 = 0 0 + -8y = 116 + 32 -8y = 116 + 32 Combine like terms: 116 + 32 = 148 -8y = 148 Divide each side by '-8'. y = -18.5 Simplifying y = -18.5
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