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Simplifying 4(2y + 3) + -5(y + 3) = 0 Reorder the terms: 4(3 + 2y) + -5(y + 3) = 0 (3 * 4 + 2y * 4) + -5(y + 3) = 0 (12 + 8y) + -5(y + 3) = 0 Reorder the terms: 12 + 8y + -5(3 + y) = 0 12 + 8y + (3 * -5 + y * -5) = 0 12 + 8y + (-15 + -5y) = 0 Reorder the terms: 12 + -15 + 8y + -5y = 0 Combine like terms: 12 + -15 = -3 -3 + 8y + -5y = 0 Combine like terms: 8y + -5y = 3y -3 + 3y = 0 Solving -3 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 3y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 0 + 3 3y = 0 + 3 Combine like terms: 0 + 3 = 3 3y = 3 Divide each side by '3'. y = 1 Simplifying y = 1
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