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Simplifying 32 + 3y + -13 = 13y + -9 + -3y Reorder the terms: 32 + -13 + 3y = 13y + -9 + -3y Combine like terms: 32 + -13 = 19 19 + 3y = 13y + -9 + -3y Reorder the terms: 19 + 3y = -9 + 13y + -3y Combine like terms: 13y + -3y = 10y 19 + 3y = -9 + 10y Solving 19 + 3y = -9 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 19 + 3y + -10y = -9 + 10y + -10y Combine like terms: 3y + -10y = -7y 19 + -7y = -9 + 10y + -10y Combine like terms: 10y + -10y = 0 19 + -7y = -9 + 0 19 + -7y = -9 Add '-19' to each side of the equation. 19 + -19 + -7y = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -7y = -9 + -19 -7y = -9 + -19 Combine like terms: -9 + -19 = -28 -7y = -28 Divide each side by '-7'. y = 4 Simplifying y = 4
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