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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 = 38y -2 = 36 + 38y Solving -2 = 36 + 38y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-38y' to each side of the equation. -2 + -38y = 36 + 38y + -38y Combine like terms: 38y + -38y = 0 -2 + -38y = 36 + 0 -2 + -38y = 36 Add '2' to each side of the equation. -2 + 2 + -38y = 36 + 2 Combine like terms: -2 + 2 = 0 0 + -38y = 36 + 2 -38y = 36 + 2 Combine like terms: 36 + 2 = 38 -38y = 38 Divide each side by '-38'. y = -1 Simplifying y = -1
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