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Simplifying 4(3 + 4) + -4 = 6 + 3(y + 2) Combine like terms: 3 + 4 = 7 4(7) + -4 = 6 + 3(y + 2) Multiply 4 * 7 28 + -4 = 6 + 3(y + 2) Combine like terms: 28 + -4 = 24 24 = 6 + 3(y + 2) Reorder the terms: 24 = 6 + 3(2 + y) 24 = 6 + (2 * 3 + y * 3) 24 = 6 + (6 + 3y) Combine like terms: 6 + 6 = 12 24 = 12 + 3y Solving 24 = 12 + 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 + -3y = 12 + 3y + -3y Combine like terms: 3y + -3y = 0 24 + -3y = 12 + 0 24 + -3y = 12 Add '-24' to each side of the equation. 24 + -24 + -3y = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -3y = 12 + -24 -3y = 12 + -24 Combine like terms: 12 + -24 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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