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Simplifying -5y + 4(-1y + 9) + 7(7 + 3y) = -7 Reorder the terms: -5y + 4(9 + -1y) + 7(7 + 3y) = -7 -5y + (9 * 4 + -1y * 4) + 7(7 + 3y) = -7 -5y + (36 + -4y) + 7(7 + 3y) = -7 -5y + 36 + -4y + (7 * 7 + 3y * 7) = -7 -5y + 36 + -4y + (49 + 21y) = -7 Reorder the terms: 36 + 49 + -5y + -4y + 21y = -7 Combine like terms: 36 + 49 = 85 85 + -5y + -4y + 21y = -7 Combine like terms: -5y + -4y = -9y 85 + -9y + 21y = -7 Combine like terms: -9y + 21y = 12y 85 + 12y = -7 Solving 85 + 12y = -7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-85' to each side of the equation. 85 + -85 + 12y = -7 + -85 Combine like terms: 85 + -85 = 0 0 + 12y = -7 + -85 12y = -7 + -85 Combine like terms: -7 + -85 = -92 12y = -92 Divide each side by '12'. y = -7.666666667 Simplifying y = -7.666666667
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