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Simplifying -5y + -5(4y + 4) = 7 + 1(1 + -1y) Reorder the terms: -5y + -5(4 + 4y) = 7 + 1(1 + -1y) -5y + (4 * -5 + 4y * -5) = 7 + 1(1 + -1y) -5y + (-20 + -20y) = 7 + 1(1 + -1y) Reorder the terms: -20 + -5y + -20y = 7 + 1(1 + -1y) Combine like terms: -5y + -20y = -25y -20 + -25y = 7 + 1(1 + -1y) -20 + -25y = 7 + (1 * 1 + -1y * 1) -20 + -25y = 7 + (1 + -1y) Combine like terms: 7 + 1 = 8 -20 + -25y = 8 + -1y Solving -20 + -25y = 8 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -20 + -25y + y = 8 + -1y + y Combine like terms: -25y + y = -24y -20 + -24y = 8 + -1y + y Combine like terms: -1y + y = 0 -20 + -24y = 8 + 0 -20 + -24y = 8 Add '20' to each side of the equation. -20 + 20 + -24y = 8 + 20 Combine like terms: -20 + 20 = 0 0 + -24y = 8 + 20 -24y = 8 + 20 Combine like terms: 8 + 20 = 28 -24y = 28 Divide each side by '-24'. y = -1.166666667 Simplifying y = -1.166666667
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