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Simplifying 3(y + 6) = 4(4 + -8) Reorder the terms: 3(6 + y) = 4(4 + -8) (6 * 3 + y * 3) = 4(4 + -8) (18 + 3y) = 4(4 + -8) Combine like terms: 4 + -8 = -4 18 + 3y = 4(-4) Multiply 4 * -4 18 + 3y = -16 Solving 18 + 3y = -16 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 3y = -16 + -18 Combine like terms: 18 + -18 = 0 0 + 3y = -16 + -18 3y = -16 + -18 Combine like terms: -16 + -18 = -34 3y = -34 Divide each side by '3'. y = -11.33333333 Simplifying y = -11.33333333
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