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Simplifying -8 + 2(-2y + 1) = -5(-8y + 4) + 4 Reorder the terms: -8 + 2(1 + -2y) = -5(-8y + 4) + 4 -8 + (1 * 2 + -2y * 2) = -5(-8y + 4) + 4 -8 + (2 + -4y) = -5(-8y + 4) + 4 Combine like terms: -8 + 2 = -6 -6 + -4y = -5(-8y + 4) + 4 Reorder the terms: -6 + -4y = -5(4 + -8y) + 4 -6 + -4y = (4 * -5 + -8y * -5) + 4 -6 + -4y = (-20 + 40y) + 4 Reorder the terms: -6 + -4y = -20 + 4 + 40y Combine like terms: -20 + 4 = -16 -6 + -4y = -16 + 40y Solving -6 + -4y = -16 + 40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-40y' to each side of the equation. -6 + -4y + -40y = -16 + 40y + -40y Combine like terms: -4y + -40y = -44y -6 + -44y = -16 + 40y + -40y Combine like terms: 40y + -40y = 0 -6 + -44y = -16 + 0 -6 + -44y = -16 Add '6' to each side of the equation. -6 + 6 + -44y = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -44y = -16 + 6 -44y = -16 + 6 Combine like terms: -16 + 6 = -10 -44y = -10 Divide each side by '-44'. y = 0.2272727273 Simplifying y = 0.2272727273
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