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Simplifying 4(4y + 5) = 2(5y + -4) Reorder the terms: 4(5 + 4y) = 2(5y + -4) (5 * 4 + 4y * 4) = 2(5y + -4) (20 + 16y) = 2(5y + -4) Reorder the terms: 20 + 16y = 2(-4 + 5y) 20 + 16y = (-4 * 2 + 5y * 2) 20 + 16y = (-8 + 10y) Solving 20 + 16y = -8 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 20 + 16y + -10y = -8 + 10y + -10y Combine like terms: 16y + -10y = 6y 20 + 6y = -8 + 10y + -10y Combine like terms: 10y + -10y = 0 20 + 6y = -8 + 0 20 + 6y = -8 Add '-20' to each side of the equation. 20 + -20 + 6y = -8 + -20 Combine like terms: 20 + -20 = 0 0 + 6y = -8 + -20 6y = -8 + -20 Combine like terms: -8 + -20 = -28 6y = -28 Divide each side by '6'. y = -4.666666667 Simplifying y = -4.666666667
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