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