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Simplifying -6(y + -9) = -5y + -3 Reorder the terms: -6(-9 + y) = -5y + -3 (-9 * -6 + y * -6) = -5y + -3 (54 + -6y) = -5y + -3 Reorder the terms: 54 + -6y = -3 + -5y Solving 54 + -6y = -3 + -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. 54 + -6y + 5y = -3 + -5y + 5y Combine like terms: -6y + 5y = -1y 54 + -1y = -3 + -5y + 5y Combine like terms: -5y + 5y = 0 54 + -1y = -3 + 0 54 + -1y = -3 Add '-54' to each side of the equation. 54 + -54 + -1y = -3 + -54 Combine like terms: 54 + -54 = 0 0 + -1y = -3 + -54 -1y = -3 + -54 Combine like terms: -3 + -54 = -57 -1y = -57 Divide each side by '-1'. y = 57 Simplifying y = 57
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