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Simplifying 4(7y + 3) = -17 + 9y Reorder the terms: 4(3 + 7y) = -17 + 9y (3 * 4 + 7y * 4) = -17 + 9y (12 + 28y) = -17 + 9y Solving 12 + 28y = -17 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 12 + 28y + -9y = -17 + 9y + -9y Combine like terms: 28y + -9y = 19y 12 + 19y = -17 + 9y + -9y Combine like terms: 9y + -9y = 0 12 + 19y = -17 + 0 12 + 19y = -17 Add '-12' to each side of the equation. 12 + -12 + 19y = -17 + -12 Combine like terms: 12 + -12 = 0 0 + 19y = -17 + -12 19y = -17 + -12 Combine like terms: -17 + -12 = -29 19y = -29 Divide each side by '19'. y = -1.526315789 Simplifying y = -1.526315789
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