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Simplifying 34y + 9 = 3(12y + -18) Reorder the terms: 9 + 34y = 3(12y + -18) Reorder the terms: 9 + 34y = 3(-18 + 12y) 9 + 34y = (-18 * 3 + 12y * 3) 9 + 34y = (-54 + 36y) Solving 9 + 34y = -54 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. 9 + 34y + -36y = -54 + 36y + -36y Combine like terms: 34y + -36y = -2y 9 + -2y = -54 + 36y + -36y Combine like terms: 36y + -36y = 0 9 + -2y = -54 + 0 9 + -2y = -54 Add '-9' to each side of the equation. 9 + -9 + -2y = -54 + -9 Combine like terms: 9 + -9 = 0 0 + -2y = -54 + -9 -2y = -54 + -9 Combine like terms: -54 + -9 = -63 -2y = -63 Divide each side by '-2'. y = 31.5 Simplifying y = 31.5
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