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Simplifying -5y + 4(3y + -1) = 7 + -5(-9 + -1y) Reorder the terms: -5y + 4(-1 + 3y) = 7 + -5(-9 + -1y) -5y + (-1 * 4 + 3y * 4) = 7 + -5(-9 + -1y) -5y + (-4 + 12y) = 7 + -5(-9 + -1y) Reorder the terms: -4 + -5y + 12y = 7 + -5(-9 + -1y) Combine like terms: -5y + 12y = 7y -4 + 7y = 7 + -5(-9 + -1y) -4 + 7y = 7 + (-9 * -5 + -1y * -5) -4 + 7y = 7 + (45 + 5y) Combine like terms: 7 + 45 = 52 -4 + 7y = 52 + 5y Solving -4 + 7y = 52 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -4 + 7y + -5y = 52 + 5y + -5y Combine like terms: 7y + -5y = 2y -4 + 2y = 52 + 5y + -5y Combine like terms: 5y + -5y = 0 -4 + 2y = 52 + 0 -4 + 2y = 52 Add '4' to each side of the equation. -4 + 4 + 2y = 52 + 4 Combine like terms: -4 + 4 = 0 0 + 2y = 52 + 4 2y = 52 + 4 Combine like terms: 52 + 4 = 56 2y = 56 Divide each side by '2'. y = 28 Simplifying y = 28
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