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Simplifying -5(y + -9) = -3y + 47 Reorder the terms: -5(-9 + y) = -3y + 47 (-9 * -5 + y * -5) = -3y + 47 (45 + -5y) = -3y + 47 Reorder the terms: 45 + -5y = 47 + -3y Solving 45 + -5y = 47 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 45 + -5y + 3y = 47 + -3y + 3y Combine like terms: -5y + 3y = -2y 45 + -2y = 47 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + -2y = 47 + 0 45 + -2y = 47 Add '-45' to each side of the equation. 45 + -45 + -2y = 47 + -45 Combine like terms: 45 + -45 = 0 0 + -2y = 47 + -45 -2y = 47 + -45 Combine like terms: 47 + -45 = 2 -2y = 2 Divide each side by '-2'. y = -1 Simplifying y = -1
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