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Simplifying 4(5y + 6) = 5(8y + -4) Reorder the terms: 4(6 + 5y) = 5(8y + -4) (6 * 4 + 5y * 4) = 5(8y + -4) (24 + 20y) = 5(8y + -4) Reorder the terms: 24 + 20y = 5(-4 + 8y) 24 + 20y = (-4 * 5 + 8y * 5) 24 + 20y = (-20 + 40y) Solving 24 + 20y = -20 + 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. 24 + 20y + -40y = -20 + 40y + -40y Combine like terms: 20y + -40y = -20y 24 + -20y = -20 + 40y + -40y Combine like terms: 40y + -40y = 0 24 + -20y = -20 + 0 24 + -20y = -20 Add '-24' to each side of the equation. 24 + -24 + -20y = -20 + -24 Combine like terms: 24 + -24 = 0 0 + -20y = -20 + -24 -20y = -20 + -24 Combine like terms: -20 + -24 = -44 -20y = -44 Divide each side by '-20'. y = 2.2 Simplifying y = 2.2
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