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Simplifying 3(3y + 2) + 12 = 48 + -1y Reorder the terms: 3(2 + 3y) + 12 = 48 + -1y (2 * 3 + 3y * 3) + 12 = 48 + -1y (6 + 9y) + 12 = 48 + -1y Reorder the terms: 6 + 12 + 9y = 48 + -1y Combine like terms: 6 + 12 = 18 18 + 9y = 48 + -1y Solving 18 + 9y = 48 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 18 + 9y + y = 48 + -1y + y Combine like terms: 9y + y = 10y 18 + 10y = 48 + -1y + y Combine like terms: -1y + y = 0 18 + 10y = 48 + 0 18 + 10y = 48 Add '-18' to each side of the equation. 18 + -18 + 10y = 48 + -18 Combine like terms: 18 + -18 = 0 0 + 10y = 48 + -18 10y = 48 + -18 Combine like terms: 48 + -18 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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