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Simplifying 8 + 2(4y + -5) = -4(2y + -1) + 4y Reorder the terms: 8 + 2(-5 + 4y) = -4(2y + -1) + 4y 8 + (-5 * 2 + 4y * 2) = -4(2y + -1) + 4y 8 + (-10 + 8y) = -4(2y + -1) + 4y Combine like terms: 8 + -10 = -2 -2 + 8y = -4(2y + -1) + 4y Reorder the terms: -2 + 8y = -4(-1 + 2y) + 4y -2 + 8y = (-1 * -4 + 2y * -4) + 4y -2 + 8y = (4 + -8y) + 4y Combine like terms: -8y + 4y = -4y -2 + 8y = 4 + -4y Solving -2 + 8y = 4 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -2 + 8y + 4y = 4 + -4y + 4y Combine like terms: 8y + 4y = 12y -2 + 12y = 4 + -4y + 4y Combine like terms: -4y + 4y = 0 -2 + 12y = 4 + 0 -2 + 12y = 4 Add '2' to each side of the equation. -2 + 2 + 12y = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 12y = 4 + 2 12y = 4 + 2 Combine like terms: 4 + 2 = 6 12y = 6 Divide each side by '12'. y = 0.5 Simplifying y = 0.5
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