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Simplifying 5(y + -6) + -9(y + -5) = 0 Reorder the terms: 5(-6 + y) + -9(y + -5) = 0 (-6 * 5 + y * 5) + -9(y + -5) = 0 (-30 + 5y) + -9(y + -5) = 0 Reorder the terms: -30 + 5y + -9(-5 + y) = 0 -30 + 5y + (-5 * -9 + y * -9) = 0 -30 + 5y + (45 + -9y) = 0 Reorder the terms: -30 + 45 + 5y + -9y = 0 Combine like terms: -30 + 45 = 15 15 + 5y + -9y = 0 Combine like terms: 5y + -9y = -4y 15 + -4y = 0 Solving 15 + -4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4y = 0 + -15 -4y = 0 + -15 Combine like terms: 0 + -15 = -15 -4y = -15 Divide each side by '-4'. y = 3.75 Simplifying y = 3.75
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