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Simplifying 3y + -2 = 12y + 52 Reorder the terms: -2 + 3y = 12y + 52 Reorder the terms: -2 + 3y = 52 + 12y Solving -2 + 3y = 52 + 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. -2 + 3y + -12y = 52 + 12y + -12y Combine like terms: 3y + -12y = -9y -2 + -9y = 52 + 12y + -12y Combine like terms: 12y + -12y = 0 -2 + -9y = 52 + 0 -2 + -9y = 52 Add '2' to each side of the equation. -2 + 2 + -9y = 52 + 2 Combine like terms: -2 + 2 = 0 0 + -9y = 52 + 2 -9y = 52 + 2 Combine like terms: 52 + 2 = 54 -9y = 54 Divide each side by '-9'. y = -6 Simplifying y = -6
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