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Simplifying -2 = -4(-7y + 1) + (8 + 2y) Reorder the terms: -2 = -4(1 + -7y) + (8 + 2y) -2 = (1 * -4 + -7y * -4) + (8 + 2y) -2 = (-4 + 28y) + (8 + 2y) Remove parenthesis around (8 + 2y) -2 = -4 + 28y + 8 + 2y Reorder the terms: -2 = -4 + 8 + 28y + 2y Combine like terms: -4 + 8 = 4 -2 = 4 + 28y + 2y Combine like terms: 28y + 2y = 30y -2 = 4 + 30y Solving -2 = 4 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -2 + -30y = 4 + 30y + -30y Combine like terms: 30y + -30y = 0 -2 + -30y = 4 + 0 -2 + -30y = 4 Add '2' to each side of the equation. -2 + 2 + -30y = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -30y = 4 + 2 -30y = 4 + 2 Combine like terms: 4 + 2 = 6 -30y = 6 Divide each side by '-30'. y = -0.2 Simplifying y = -0.2
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