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Simplifying -4y + 5(-8y + 1) = -3 + -2(-3 + -1y) Reorder the terms: -4y + 5(1 + -8y) = -3 + -2(-3 + -1y) -4y + (1 * 5 + -8y * 5) = -3 + -2(-3 + -1y) -4y + (5 + -40y) = -3 + -2(-3 + -1y) Reorder the terms: 5 + -4y + -40y = -3 + -2(-3 + -1y) Combine like terms: -4y + -40y = -44y 5 + -44y = -3 + -2(-3 + -1y) 5 + -44y = -3 + (-3 * -2 + -1y * -2) 5 + -44y = -3 + (6 + 2y) Combine like terms: -3 + 6 = 3 5 + -44y = 3 + 2y Solving 5 + -44y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 5 + -44y + -2y = 3 + 2y + -2y Combine like terms: -44y + -2y = -46y 5 + -46y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 5 + -46y = 3 + 0 5 + -46y = 3 Add '-5' to each side of the equation. 5 + -5 + -46y = 3 + -5 Combine like terms: 5 + -5 = 0 0 + -46y = 3 + -5 -46y = 3 + -5 Combine like terms: 3 + -5 = -2 -46y = -2 Divide each side by '-46'. y = 0.04347826087 Simplifying y = 0.04347826087
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