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Simplifying 5(3y + 5) = 4(3y + 4) Reorder the terms: 5(5 + 3y) = 4(3y + 4) (5 * 5 + 3y * 5) = 4(3y + 4) (25 + 15y) = 4(3y + 4) Reorder the terms: 25 + 15y = 4(4 + 3y) 25 + 15y = (4 * 4 + 3y * 4) 25 + 15y = (16 + 12y) Solving 25 + 15y = 16 + 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. 25 + 15y + -12y = 16 + 12y + -12y Combine like terms: 15y + -12y = 3y 25 + 3y = 16 + 12y + -12y Combine like terms: 12y + -12y = 0 25 + 3y = 16 + 0 25 + 3y = 16 Add '-25' to each side of the equation. 25 + -25 + 3y = 16 + -25 Combine like terms: 25 + -25 = 0 0 + 3y = 16 + -25 3y = 16 + -25 Combine like terms: 16 + -25 = -9 3y = -9 Divide each side by '3'. y = -3 Simplifying y = -3
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