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Simplifying 82 + 6y + -32 = 17y + -13 + -2y Reorder the terms: 82 + -32 + 6y = 17y + -13 + -2y Combine like terms: 82 + -32 = 50 50 + 6y = 17y + -13 + -2y Reorder the terms: 50 + 6y = -13 + 17y + -2y Combine like terms: 17y + -2y = 15y 50 + 6y = -13 + 15y Solving 50 + 6y = -13 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 50 + 6y + -15y = -13 + 15y + -15y Combine like terms: 6y + -15y = -9y 50 + -9y = -13 + 15y + -15y Combine like terms: 15y + -15y = 0 50 + -9y = -13 + 0 50 + -9y = -13 Add '-50' to each side of the equation. 50 + -50 + -9y = -13 + -50 Combine like terms: 50 + -50 = 0 0 + -9y = -13 + -50 -9y = -13 + -50 Combine like terms: -13 + -50 = -63 -9y = -63 Divide each side by '-9'. y = 7 Simplifying y = 7
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