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Simplifying 11y + 42 + -2y = 100 + -9y + -22 Reorder the terms: 42 + 11y + -2y = 100 + -9y + -22 Combine like terms: 11y + -2y = 9y 42 + 9y = 100 + -9y + -22 Reorder the terms: 42 + 9y = 100 + -22 + -9y Combine like terms: 100 + -22 = 78 42 + 9y = 78 + -9y Solving 42 + 9y = 78 + -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 + 9y + 9y = 78 + -9y + 9y Combine like terms: 9y + 9y = 18y 42 + 18y = 78 + -9y + 9y Combine like terms: -9y + 9y = 0 42 + 18y = 78 + 0 42 + 18y = 78 Add '-42' to each side of the equation. 42 + -42 + 18y = 78 + -42 Combine like terms: 42 + -42 = 0 0 + 18y = 78 + -42 18y = 78 + -42 Combine like terms: 78 + -42 = 36 18y = 36 Divide each side by '18'. y = 2 Simplifying y = 2
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