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Simplifying 6(y + 4) + y = 3(y + 3) + 6 Reorder the terms: 6(4 + y) + y = 3(y + 3) + 6 (4 * 6 + y * 6) + y = 3(y + 3) + 6 (24 + 6y) + y = 3(y + 3) + 6 Combine like terms: 6y + y = 7y 24 + 7y = 3(y + 3) + 6 Reorder the terms: 24 + 7y = 3(3 + y) + 6 24 + 7y = (3 * 3 + y * 3) + 6 24 + 7y = (9 + 3y) + 6 Reorder the terms: 24 + 7y = 9 + 6 + 3y Combine like terms: 9 + 6 = 15 24 + 7y = 15 + 3y Solving 24 + 7y = 15 + 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 + 7y + -3y = 15 + 3y + -3y Combine like terms: 7y + -3y = 4y 24 + 4y = 15 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + 4y = 15 + 0 24 + 4y = 15 Add '-24' to each side of the equation. 24 + -24 + 4y = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 4y = 15 + -24 4y = 15 + -24 Combine like terms: 15 + -24 = -9 4y = -9 Divide each side by '4'. y = -2.25 Simplifying y = -2.25
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