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Simplifying 7 = 9y + -1(10 + -8y) 7 = 9y + (10 * -1 + -8y * -1) 7 = 9y + (-10 + 8y) Reorder the terms: 7 = -10 + 9y + 8y Combine like terms: 9y + 8y = 17y 7 = -10 + 17y Solving 7 = -10 + 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. 7 + -17y = -10 + 17y + -17y Combine like terms: 17y + -17y = 0 7 + -17y = -10 + 0 7 + -17y = -10 Add '-7' to each side of the equation. 7 + -7 + -17y = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -17y = -10 + -7 -17y = -10 + -7 Combine like terms: -10 + -7 = -17 -17y = -17 Divide each side by '-17'. y = 1 Simplifying y = 1
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