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Simplifying -2y + -13 = 3y + 32 Reorder the terms: -13 + -2y = 3y + 32 Reorder the terms: -13 + -2y = 32 + 3y Solving -13 + -2y = 32 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -13 + -2y + -3y = 32 + 3y + -3y Combine like terms: -2y + -3y = -5y -13 + -5y = 32 + 3y + -3y Combine like terms: 3y + -3y = 0 -13 + -5y = 32 + 0 -13 + -5y = 32 Add '13' to each side of the equation. -13 + 13 + -5y = 32 + 13 Combine like terms: -13 + 13 = 0 0 + -5y = 32 + 13 -5y = 32 + 13 Combine like terms: 32 + 13 = 45 -5y = 45 Divide each side by '-5'. y = -9 Simplifying y = -9
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