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Simplifying -5y + 12y + 9 = 4y + 42 Reorder the terms: 9 + -5y + 12y = 4y + 42 Combine like terms: -5y + 12y = 7y 9 + 7y = 4y + 42 Reorder the terms: 9 + 7y = 42 + 4y Solving 9 + 7y = 42 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 9 + 7y + -4y = 42 + 4y + -4y Combine like terms: 7y + -4y = 3y 9 + 3y = 42 + 4y + -4y Combine like terms: 4y + -4y = 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 = 33 3y = 33 Divide each side by '3'. y = 11 Simplifying y = 11
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