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Simplifying -2 = -4(7y + 1) + 5(8 + 2y) Reorder the terms: -2 = -4(1 + 7y) + 5(8 + 2y) -2 = (1 * -4 + 7y * -4) + 5(8 + 2y) -2 = (-4 + -28y) + 5(8 + 2y) -2 = -4 + -28y + (8 * 5 + 2y * 5) -2 = -4 + -28y + (40 + 10y) Reorder the terms: -2 = -4 + 40 + -28y + 10y Combine like terms: -4 + 40 = 36 -2 = 36 + -28y + 10y Combine like terms: -28y + 10y = -18y -2 = 36 + -18y Solving -2 = 36 + -18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '18y' to each side of the equation. -2 + 18y = 36 + -18y + 18y Combine like terms: -18y + 18y = 0 -2 + 18y = 36 + 0 -2 + 18y = 36 Add '2' to each side of the equation. -2 + 2 + 18y = 36 + 2 Combine like terms: -2 + 2 = 0 0 + 18y = 36 + 2 18y = 36 + 2 Combine like terms: 36 + 2 = 38 18y = 38 Divide each side by '18'. y = 2.111111111 Simplifying y = 2.111111111
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