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Simplifying 61 + 6y + -19 = 17y + -12 + -2y Reorder the terms: 61 + -19 + 6y = 17y + -12 + -2y Combine like terms: 61 + -19 = 42 42 + 6y = 17y + -12 + -2y Reorder the terms: 42 + 6y = -12 + 17y + -2y Combine like terms: 17y + -2y = 15y 42 + 6y = -12 + 15y Solving 42 + 6y = -12 + 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. 42 + 6y + -15y = -12 + 15y + -15y Combine like terms: 6y + -15y = -9y 42 + -9y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 42 + -9y = -12 + 0 42 + -9y = -12 Add '-42' to each side of the equation. 42 + -42 + -9y = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -9y = -12 + -42 -9y = -12 + -42 Combine like terms: -12 + -42 = -54 -9y = -54 Divide each side by '-9'. y = 6 Simplifying y = 6
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