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Simplifying 2(y + 3) = -3(4y + -3) + 8y Reorder the terms: 2(3 + y) = -3(4y + -3) + 8y (3 * 2 + y * 2) = -3(4y + -3) + 8y (6 + 2y) = -3(4y + -3) + 8y Reorder the terms: 6 + 2y = -3(-3 + 4y) + 8y 6 + 2y = (-3 * -3 + 4y * -3) + 8y 6 + 2y = (9 + -12y) + 8y Combine like terms: -12y + 8y = -4y 6 + 2y = 9 + -4y Solving 6 + 2y = 9 + -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. 6 + 2y + 4y = 9 + -4y + 4y Combine like terms: 2y + 4y = 6y 6 + 6y = 9 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 6y = 9 + 0 6 + 6y = 9 Add '-6' to each side of the equation. 6 + -6 + 6y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + 6y = 9 + -6 6y = 9 + -6 Combine like terms: 9 + -6 = 3 6y = 3 Divide each side by '6'. y = 0.5 Simplifying y = 0.5
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