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Simplifying 9(y + 3) + -5(2y + -4) = 47 Reorder the terms: 9(3 + y) + -5(2y + -4) = 47 (3 * 9 + y * 9) + -5(2y + -4) = 47 (27 + 9y) + -5(2y + -4) = 47 Reorder the terms: 27 + 9y + -5(-4 + 2y) = 47 27 + 9y + (-4 * -5 + 2y * -5) = 47 27 + 9y + (20 + -10y) = 47 Reorder the terms: 27 + 20 + 9y + -10y = 47 Combine like terms: 27 + 20 = 47 47 + 9y + -10y = 47 Combine like terms: 9y + -10y = -1y 47 + -1y = 47 Add '-47' to each side of the equation. 47 + -47 + -1y = 47 + -47 Combine like terms: 47 + -47 = 0 0 + -1y = 47 + -47 -1y = 47 + -47 Combine like terms: 47 + -47 = 0 -1y = 0 Solving -1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-1'. y = 0 Simplifying y = 0
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