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Simplifying -3(7 + -3y) + 4 + 2(4 + -5y) = 5 (7 * -3 + -3y * -3) + 4 + 2(4 + -5y) = 5 (-21 + 9y) + 4 + 2(4 + -5y) = 5 -21 + 9y + 4 + (4 * 2 + -5y * 2) = 5 -21 + 9y + 4 + (8 + -10y) = 5 Reorder the terms: -21 + 4 + 8 + 9y + -10y = 5 Combine like terms: -21 + 4 = -17 -17 + 8 + 9y + -10y = 5 Combine like terms: -17 + 8 = -9 -9 + 9y + -10y = 5 Combine like terms: 9y + -10y = -1y -9 + -1y = 5 Solving -9 + -1y = 5 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 5 + 9 -1y = 5 + 9 Combine like terms: 5 + 9 = 14 -1y = 14 Divide each side by '-1'. y = -14 Simplifying y = -14
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