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Simplifying 82 + 6y + -29 = 17y + -10 + -2y Reorder the terms: 82 + -29 + 6y = 17y + -10 + -2y Combine like terms: 82 + -29 = 53 53 + 6y = 17y + -10 + -2y Reorder the terms: 53 + 6y = -10 + 17y + -2y Combine like terms: 17y + -2y = 15y 53 + 6y = -10 + 15y Solving 53 + 6y = -10 + 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. 53 + 6y + -15y = -10 + 15y + -15y Combine like terms: 6y + -15y = -9y 53 + -9y = -10 + 15y + -15y Combine like terms: 15y + -15y = 0 53 + -9y = -10 + 0 53 + -9y = -10 Add '-53' to each side of the equation. 53 + -53 + -9y = -10 + -53 Combine like terms: 53 + -53 = 0 0 + -9y = -10 + -53 -9y = -10 + -53 Combine like terms: -10 + -53 = -63 -9y = -63 Divide each side by '-9'. y = 7 Simplifying y = 7
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