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Simplifying 15y + 9 = 12y + -42 Reorder the terms: 9 + 15y = 12y + -42 Reorder the terms: 9 + 15y = -42 + 12y Solving 9 + 15y = -42 + 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. 9 + 15y + -12y = -42 + 12y + -12y Combine like terms: 15y + -12y = 3y 9 + 3y = -42 + 12y + -12y Combine like terms: 12y + -12y = 0 9 + 3y = -42 + 0 9 + 3y = -42 Add '-9' to each side of the equation. 9 + -9 + 3y = -42 + -9 Combine like terms: 9 + -9 = 0 0 + 3y = -42 + -9 3y = -42 + -9 Combine like terms: -42 + -9 = -51 3y = -51 Divide each side by '3'. y = -17 Simplifying y = -17
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