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Simplifying -2 = -4(-7y + 1) + 5(8 + 2) Reorder the terms: -2 = -4(1 + -7y) + 5(8 + 2) -2 = (1 * -4 + -7y * -4) + 5(8 + 2) -2 = (-4 + 28y) + 5(8 + 2) Combine like terms: 8 + 2 = 10 -2 = -4 + 28y + 5(10) Multiply 5 * 10 -2 = -4 + 28y + 50 Reorder the terms: -2 = -4 + 50 + 28y Combine like terms: -4 + 50 = 46 -2 = 46 + 28y Solving -2 = 46 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -2 + -28y = 46 + 28y + -28y Combine like terms: 28y + -28y = 0 -2 + -28y = 46 + 0 -2 + -28y = 46 Add '2' to each side of the equation. -2 + 2 + -28y = 46 + 2 Combine like terms: -2 + 2 = 0 0 + -28y = 46 + 2 -28y = 46 + 2 Combine like terms: 46 + 2 = 48 -28y = 48 Divide each side by '-28'. y = -1.714285714 Simplifying y = -1.714285714
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