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Simplifying 3(2y + 6) = 2(4Y + -5) Reorder the terms: 3(6 + 2y) = 2(4Y + -5) (6 * 3 + 2y * 3) = 2(4Y + -5) (18 + 6y) = 2(4Y + -5) Reorder the terms: 18 + 6y = 2(-5 + 4Y) 18 + 6y = (-5 * 2 + 4Y * 2) 18 + 6y = (-10 + 8Y) Solving 18 + 6y = -10 + 8Y 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 + 6y = -10 + -18 + 8Y Combine like terms: 18 + -18 = 0 0 + 6y = -10 + -18 + 8Y 6y = -10 + -18 + 8Y Combine like terms: -10 + -18 = -28 6y = -28 + 8Y Divide each side by '6'. y = -4.666666667 + 1.333333333Y Simplifying y = -4.666666667 + 1.333333333Y
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