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Simplifying 20(y + 1) = 8(3y + 1) Reorder the terms: 20(1 + y) = 8(3y + 1) (1 * 20 + y * 20) = 8(3y + 1) (20 + 20y) = 8(3y + 1) Reorder the terms: 20 + 20y = 8(1 + 3y) 20 + 20y = (1 * 8 + 3y * 8) 20 + 20y = (8 + 24y) Solving 20 + 20y = 8 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 20 + 20y + -24y = 8 + 24y + -24y Combine like terms: 20y + -24y = -4y 20 + -4y = 8 + 24y + -24y Combine like terms: 24y + -24y = 0 20 + -4y = 8 + 0 20 + -4y = 8 Add '-20' to each side of the equation. 20 + -20 + -4y = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -4y = 8 + -20 -4y = 8 + -20 Combine like terms: 8 + -20 = -12 -4y = -12 Divide each side by '-4'. y = 3 Simplifying y = 3
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