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Simplifying 9(y + -4) = 7(y + -5) Reorder the terms: 9(-4 + y) = 7(y + -5) (-4 * 9 + y * 9) = 7(y + -5) (-36 + 9y) = 7(y + -5) Reorder the terms: -36 + 9y = 7(-5 + y) -36 + 9y = (-5 * 7 + y * 7) -36 + 9y = (-35 + 7y) Solving -36 + 9y = -35 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -36 + 9y + -7y = -35 + 7y + -7y Combine like terms: 9y + -7y = 2y -36 + 2y = -35 + 7y + -7y Combine like terms: 7y + -7y = 0 -36 + 2y = -35 + 0 -36 + 2y = -35 Add '36' to each side of the equation. -36 + 36 + 2y = -35 + 36 Combine like terms: -36 + 36 = 0 0 + 2y = -35 + 36 2y = -35 + 36 Combine like terms: -35 + 36 = 1 2y = 1 Divide each side by '2'. y = 0.5 Simplifying y = 0.5
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