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Simplifying 5(5y + 3) = 4(3y + -5) Reorder the terms: 5(3 + 5y) = 4(3y + -5) (3 * 5 + 5y * 5) = 4(3y + -5) (15 + 25y) = 4(3y + -5) Reorder the terms: 15 + 25y = 4(-5 + 3y) 15 + 25y = (-5 * 4 + 3y * 4) 15 + 25y = (-20 + 12y) Solving 15 + 25y = -20 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 15 + 25y + -12y = -20 + 12y + -12y Combine like terms: 25y + -12y = 13y 15 + 13y = -20 + 12y + -12y Combine like terms: 12y + -12y = 0 15 + 13y = -20 + 0 15 + 13y = -20 Add '-15' to each side of the equation. 15 + -15 + 13y = -20 + -15 Combine like terms: 15 + -15 = 0 0 + 13y = -20 + -15 13y = -20 + -15 Combine like terms: -20 + -15 = -35 13y = -35 Divide each side by '13'. y = -2.692307692 Simplifying y = -2.692307692
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