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Simplifying 4(y + 5) = 13y + 2 Reorder the terms: 4(5 + y) = 13y + 2 (5 * 4 + y * 4) = 13y + 2 (20 + 4y) = 13y + 2 Reorder the terms: 20 + 4y = 2 + 13y Solving 20 + 4y = 2 + 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. 20 + 4y + -13y = 2 + 13y + -13y Combine like terms: 4y + -13y = -9y 20 + -9y = 2 + 13y + -13y Combine like terms: 13y + -13y = 0 20 + -9y = 2 + 0 20 + -9y = 2 Add '-20' to each side of the equation. 20 + -20 + -9y = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -9y = 2 + -20 -9y = 2 + -20 Combine like terms: 2 + -20 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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