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Simplifying 9y + -43 = 5(y + -7) Reorder the terms: -43 + 9y = 5(y + -7) Reorder the terms: -43 + 9y = 5(-7 + y) -43 + 9y = (-7 * 5 + y * 5) -43 + 9y = (-35 + 5y) Solving -43 + 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. -43 + 9y + -5y = -35 + 5y + -5y Combine like terms: 9y + -5y = 4y -43 + 4y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 -43 + 4y = -35 + 0 -43 + 4y = -35 Add '43' to each side of the equation. -43 + 43 + 4y = -35 + 43 Combine like terms: -43 + 43 = 0 0 + 4y = -35 + 43 4y = -35 + 43 Combine like terms: -35 + 43 = 8 4y = 8 Divide each side by '4'. y = 2 Simplifying y = 2
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