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Simplifying 15(y + 2) = 3(4y + 5) Reorder the terms: 15(2 + y) = 3(4y + 5) (2 * 15 + y * 15) = 3(4y + 5) (30 + 15y) = 3(4y + 5) Reorder the terms: 30 + 15y = 3(5 + 4y) 30 + 15y = (5 * 3 + 4y * 3) 30 + 15y = (15 + 12y) Solving 30 + 15y = 15 + 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. 30 + 15y + -12y = 15 + 12y + -12y Combine like terms: 15y + -12y = 3y 30 + 3y = 15 + 12y + -12y Combine like terms: 12y + -12y = 0 30 + 3y = 15 + 0 30 + 3y = 15 Add '-30' to each side of the equation. 30 + -30 + 3y = 15 + -30 Combine like terms: 30 + -30 = 0 0 + 3y = 15 + -30 3y = 15 + -30 Combine like terms: 15 + -30 = -15 3y = -15 Divide each side by '3'. y = -5 Simplifying y = -5
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