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Simplifying -4(7y + 9) = 3(3 + -5y) + -4y Reorder the terms: -4(9 + 7y) = 3(3 + -5y) + -4y (9 * -4 + 7y * -4) = 3(3 + -5y) + -4y (-36 + -28y) = 3(3 + -5y) + -4y -36 + -28y = (3 * 3 + -5y * 3) + -4y -36 + -28y = (9 + -15y) + -4y Combine like terms: -15y + -4y = -19y -36 + -28y = 9 + -19y Solving -36 + -28y = 9 + -19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '19y' to each side of the equation. -36 + -28y + 19y = 9 + -19y + 19y Combine like terms: -28y + 19y = -9y -36 + -9y = 9 + -19y + 19y Combine like terms: -19y + 19y = 0 -36 + -9y = 9 + 0 -36 + -9y = 9 Add '36' to each side of the equation. -36 + 36 + -9y = 9 + 36 Combine like terms: -36 + 36 = 0 0 + -9y = 9 + 36 -9y = 9 + 36 Combine like terms: 9 + 36 = 45 -9y = 45 Divide each side by '-9'. y = -5 Simplifying y = -5
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