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Simplifying 4(y + 6) = 5 + 3y Reorder the terms: 4(6 + y) = 5 + 3y (6 * 4 + y * 4) = 5 + 3y (24 + 4y) = 5 + 3y Solving 24 + 4y = 5 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 24 + 4y + -3y = 5 + 3y + -3y Combine like terms: 4y + -3y = 1y 24 + 1y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + 1y = 5 + 0 24 + 1y = 5 Add '-24' to each side of the equation. 24 + -24 + 1y = 5 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = 5 + -24 1y = 5 + -24 Combine like terms: 5 + -24 = -19 1y = -19 Divide each side by '1'. y = -19 Simplifying y = -19
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