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Simplifying -5(y + -9) = -4y + -2 Reorder the terms: -5(-9 + y) = -4y + -2 (-9 * -5 + y * -5) = -4y + -2 (45 + -5y) = -4y + -2 Reorder the terms: 45 + -5y = -2 + -4y Solving 45 + -5y = -2 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 45 + -5y + 4y = -2 + -4y + 4y Combine like terms: -5y + 4y = -1y 45 + -1y = -2 + -4y + 4y Combine like terms: -4y + 4y = 0 45 + -1y = -2 + 0 45 + -1y = -2 Add '-45' to each side of the equation. 45 + -45 + -1y = -2 + -45 Combine like terms: 45 + -45 = 0 0 + -1y = -2 + -45 -1y = -2 + -45 Combine like terms: -2 + -45 = -47 -1y = -47 Divide each side by '-1'. y = 47 Simplifying y = 47
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