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Simplifying -2 = -2(-7y + 1) + 5(8 + 2y) Reorder the terms: -2 = -2(1 + -7y) + 5(8 + 2y) -2 = (1 * -2 + -7y * -2) + 5(8 + 2y) -2 = (-2 + 14y) + 5(8 + 2y) -2 = -2 + 14y + (8 * 5 + 2y * 5) -2 = -2 + 14y + (40 + 10y) Reorder the terms: -2 = -2 + 40 + 14y + 10y Combine like terms: -2 + 40 = 38 -2 = 38 + 14y + 10y Combine like terms: 14y + 10y = 24y -2 = 38 + 24y Solving -2 = 38 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. -2 + -24y = 38 + 24y + -24y Combine like terms: 24y + -24y = 0 -2 + -24y = 38 + 0 -2 + -24y = 38 Add '2' to each side of the equation. -2 + 2 + -24y = 38 + 2 Combine like terms: -2 + 2 = 0 0 + -24y = 38 + 2 -24y = 38 + 2 Combine like terms: 38 + 2 = 40 -24y = 40 Divide each side by '-24'. y = -1.666666667 Simplifying y = -1.666666667
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