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Simplifying 8 + 4(2y + -1) = -2(4y + -4) + 6y Reorder the terms: 8 + 4(-1 + 2y) = -2(4y + -4) + 6y 8 + (-1 * 4 + 2y * 4) = -2(4y + -4) + 6y 8 + (-4 + 8y) = -2(4y + -4) + 6y Combine like terms: 8 + -4 = 4 4 + 8y = -2(4y + -4) + 6y Reorder the terms: 4 + 8y = -2(-4 + 4y) + 6y 4 + 8y = (-4 * -2 + 4y * -2) + 6y 4 + 8y = (8 + -8y) + 6y Combine like terms: -8y + 6y = -2y 4 + 8y = 8 + -2y Solving 4 + 8y = 8 + -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. 4 + 8y + 2y = 8 + -2y + 2y Combine like terms: 8y + 2y = 10y 4 + 10y = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 10y = 8 + 0 4 + 10y = 8 Add '-4' to each side of the equation. 4 + -4 + 10y = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 10y = 8 + -4 10y = 8 + -4 Combine like terms: 8 + -4 = 4 10y = 4 Divide each side by '10'. y = 0.4 Simplifying y = 0.4
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