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Simplifying 18y + -8y + 42 = 7y + 2y + -13 Reorder the terms: 42 + 18y + -8y = 7y + 2y + -13 Combine like terms: 18y + -8y = 10y 42 + 10y = 7y + 2y + -13 Reorder the terms: 42 + 10y = -13 + 7y + 2y Combine like terms: 7y + 2y = 9y 42 + 10y = -13 + 9y Solving 42 + 10y = -13 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 42 + 10y + -9y = -13 + 9y + -9y Combine like terms: 10y + -9y = 1y 42 + 1y = -13 + 9y + -9y Combine like terms: 9y + -9y = 0 42 + 1y = -13 + 0 42 + 1y = -13 Add '-42' to each side of the equation. 42 + -42 + 1y = -13 + -42 Combine like terms: 42 + -42 = 0 0 + 1y = -13 + -42 1y = -13 + -42 Combine like terms: -13 + -42 = -55 1y = -55 Divide each side by '1'. y = -55 Simplifying y = -55
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