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Simplifying 4(y + 3) + -5(2y + -3) = 0 Reorder the terms: 4(3 + y) + -5(2y + -3) = 0 (3 * 4 + y * 4) + -5(2y + -3) = 0 (12 + 4y) + -5(2y + -3) = 0 Reorder the terms: 12 + 4y + -5(-3 + 2y) = 0 12 + 4y + (-3 * -5 + 2y * -5) = 0 12 + 4y + (15 + -10y) = 0 Reorder the terms: 12 + 15 + 4y + -10y = 0 Combine like terms: 12 + 15 = 27 27 + 4y + -10y = 0 Combine like terms: 4y + -10y = -6y 27 + -6y = 0 Solving 27 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -6y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -6y = 0 + -27 -6y = 0 + -27 Combine like terms: 0 + -27 = -27 -6y = -27 Divide each side by '-6'. y = 4.5 Simplifying y = 4.5
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