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Simplifying 3y + -8 = 12y + 46 Reorder the terms: -8 + 3y = 12y + 46 Reorder the terms: -8 + 3y = 46 + 12y Solving -8 + 3y = 46 + 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. -8 + 3y + -12y = 46 + 12y + -12y Combine like terms: 3y + -12y = -9y -8 + -9y = 46 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -9y = 46 + 0 -8 + -9y = 46 Add '8' to each side of the equation. -8 + 8 + -9y = 46 + 8 Combine like terms: -8 + 8 = 0 0 + -9y = 46 + 8 -9y = 46 + 8 Combine like terms: 46 + 8 = 54 -9y = 54 Divide each side by '-9'. y = -6 Simplifying y = -6
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