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Simplifying 4y + 36 = -5(y + -9) Reorder the terms: 36 + 4y = -5(y + -9) Reorder the terms: 36 + 4y = -5(-9 + y) 36 + 4y = (-9 * -5 + y * -5) 36 + 4y = (45 + -5y) Solving 36 + 4y = 45 + -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. 36 + 4y + 5y = 45 + -5y + 5y Combine like terms: 4y + 5y = 9y 36 + 9y = 45 + -5y + 5y Combine like terms: -5y + 5y = 0 36 + 9y = 45 + 0 36 + 9y = 45 Add '-36' to each side of the equation. 36 + -36 + 9y = 45 + -36 Combine like terms: 36 + -36 = 0 0 + 9y = 45 + -36 9y = 45 + -36 Combine like terms: 45 + -36 = 9 9y = 9 Divide each side by '9'. y = 1 Simplifying y = 1
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