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Simplifying 6(y + 4) + y = 4(y + 3) + 6 Reorder the terms: 6(4 + y) + y = 4(y + 3) + 6 (4 * 6 + y * 6) + y = 4(y + 3) + 6 (24 + 6y) + y = 4(y + 3) + 6 Combine like terms: 6y + y = 7y 24 + 7y = 4(y + 3) + 6 Reorder the terms: 24 + 7y = 4(3 + y) + 6 24 + 7y = (3 * 4 + y * 4) + 6 24 + 7y = (12 + 4y) + 6 Reorder the terms: 24 + 7y = 12 + 6 + 4y Combine like terms: 12 + 6 = 18 24 + 7y = 18 + 4y Solving 24 + 7y = 18 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 24 + 7y + -4y = 18 + 4y + -4y Combine like terms: 7y + -4y = 3y 24 + 3y = 18 + 4y + -4y Combine like terms: 4y + -4y = 0 24 + 3y = 18 + 0 24 + 3y = 18 Add '-24' to each side of the equation. 24 + -24 + 3y = 18 + -24 Combine like terms: 24 + -24 = 0 0 + 3y = 18 + -24 3y = 18 + -24 Combine like terms: 18 + -24 = -6 3y = -6 Divide each side by '3'. y = -2 Simplifying y = -2
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