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Simplifying 5(y + -3) + -3(2y + -4) = 0 Reorder the terms: 5(-3 + y) + -3(2y + -4) = 0 (-3 * 5 + y * 5) + -3(2y + -4) = 0 (-15 + 5y) + -3(2y + -4) = 0 Reorder the terms: -15 + 5y + -3(-4 + 2y) = 0 -15 + 5y + (-4 * -3 + 2y * -3) = 0 -15 + 5y + (12 + -6y) = 0 Reorder the terms: -15 + 12 + 5y + -6y = 0 Combine like terms: -15 + 12 = -3 -3 + 5y + -6y = 0 Combine like terms: 5y + -6y = -1y -3 + -1y = 0 Solving -3 + -1y = 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 + -1y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1y = 0 + 3 -1y = 0 + 3 Combine like terms: 0 + 3 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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