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Simplifying 4(y + 6) = -5(2y + -8) + 4y Reorder the terms: 4(6 + y) = -5(2y + -8) + 4y (6 * 4 + y * 4) = -5(2y + -8) + 4y (24 + 4y) = -5(2y + -8) + 4y Reorder the terms: 24 + 4y = -5(-8 + 2y) + 4y 24 + 4y = (-8 * -5 + 2y * -5) + 4y 24 + 4y = (40 + -10y) + 4y Combine like terms: -10y + 4y = -6y 24 + 4y = 40 + -6y Solving 24 + 4y = 40 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 24 + 4y + 6y = 40 + -6y + 6y Combine like terms: 4y + 6y = 10y 24 + 10y = 40 + -6y + 6y Combine like terms: -6y + 6y = 0 24 + 10y = 40 + 0 24 + 10y = 40 Add '-24' to each side of the equation. 24 + -24 + 10y = 40 + -24 Combine like terms: 24 + -24 = 0 0 + 10y = 40 + -24 10y = 40 + -24 Combine like terms: 40 + -24 = 16 10y = 16 Divide each side by '10'. y = 1.6 Simplifying y = 1.6
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