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Simplifying 5(5y + 4) = 4(4y + -5) Reorder the terms: 5(4 + 5y) = 4(4y + -5) (4 * 5 + 5y * 5) = 4(4y + -5) (20 + 25y) = 4(4y + -5) Reorder the terms: 20 + 25y = 4(-5 + 4y) 20 + 25y = (-5 * 4 + 4y * 4) 20 + 25y = (-20 + 16y) Solving 20 + 25y = -20 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. 20 + 25y + -16y = -20 + 16y + -16y Combine like terms: 25y + -16y = 9y 20 + 9y = -20 + 16y + -16y Combine like terms: 16y + -16y = 0 20 + 9y = -20 + 0 20 + 9y = -20 Add '-20' to each side of the equation. 20 + -20 + 9y = -20 + -20 Combine like terms: 20 + -20 = 0 0 + 9y = -20 + -20 9y = -20 + -20 Combine like terms: -20 + -20 = -40 9y = -40 Divide each side by '9'. y = -4.444444444 Simplifying y = -4.444444444
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