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Simplifying 3(3y + 1) = 13y + -9 Reorder the terms: 3(1 + 3y) = 13y + -9 (1 * 3 + 3y * 3) = 13y + -9 (3 + 9y) = 13y + -9 Reorder the terms: 3 + 9y = -9 + 13y Solving 3 + 9y = -9 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 3 + 9y + -13y = -9 + 13y + -13y Combine like terms: 9y + -13y = -4y 3 + -4y = -9 + 13y + -13y Combine like terms: 13y + -13y = 0 3 + -4y = -9 + 0 3 + -4y = -9 Add '-3' to each side of the equation. 3 + -3 + -4y = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -4y = -9 + -3 -4y = -9 + -3 Combine like terms: -9 + -3 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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