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Simplifying 3y + -2 = 9y + 52 Reorder the terms: -2 + 3y = 9y + 52 Reorder the terms: -2 + 3y = 52 + 9y Solving -2 + 3y = 52 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -2 + 3y + -9y = 52 + 9y + -9y Combine like terms: 3y + -9y = -6y -2 + -6y = 52 + 9y + -9y Combine like terms: 9y + -9y = 0 -2 + -6y = 52 + 0 -2 + -6y = 52 Add '2' to each side of the equation. -2 + 2 + -6y = 52 + 2 Combine like terms: -2 + 2 = 0 0 + -6y = 52 + 2 -6y = 52 + 2 Combine like terms: 52 + 2 = 54 -6y = 54 Divide each side by '-6'. y = -9 Simplifying y = -9
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