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Simplifying 8y + 42 = -9(y + 1) Reorder the terms: 42 + 8y = -9(y + 1) Reorder the terms: 42 + 8y = -9(1 + y) 42 + 8y = (1 * -9 + y * -9) 42 + 8y = (-9 + -9y) Solving 42 + 8y = -9 + -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 + 8y + 9y = -9 + -9y + 9y Combine like terms: 8y + 9y = 17y 42 + 17y = -9 + -9y + 9y Combine like terms: -9y + 9y = 0 42 + 17y = -9 + 0 42 + 17y = -9 Add '-42' to each side of the equation. 42 + -42 + 17y = -9 + -42 Combine like terms: 42 + -42 = 0 0 + 17y = -9 + -42 17y = -9 + -42 Combine like terms: -9 + -42 = -51 17y = -51 Divide each side by '17'. y = -3 Simplifying y = -3
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