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Simplifying 9y + 5 = 5(y + -7) Reorder the terms: 5 + 9y = 5(y + -7) Reorder the terms: 5 + 9y = 5(-7 + y) 5 + 9y = (-7 * 5 + y * 5) 5 + 9y = (-35 + 5y) Solving 5 + 9y = -35 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 5 + 9y + -5y = -35 + 5y + -5y Combine like terms: 9y + -5y = 4y 5 + 4y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 5 + 4y = -35 + 0 5 + 4y = -35 Add '-5' to each side of the equation. 5 + -5 + 4y = -35 + -5 Combine like terms: 5 + -5 = 0 0 + 4y = -35 + -5 4y = -35 + -5 Combine like terms: -35 + -5 = -40 4y = -40 Divide each side by '4'. y = -10 Simplifying y = -10
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