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Simplifying 5(y + -3) + -4(5 + -2y) = 3 Reorder the terms: 5(-3 + y) + -4(5 + -2y) = 3 (-3 * 5 + y * 5) + -4(5 + -2y) = 3 (-15 + 5y) + -4(5 + -2y) = 3 -15 + 5y + (5 * -4 + -2y * -4) = 3 -15 + 5y + (-20 + 8y) = 3 Reorder the terms: -15 + -20 + 5y + 8y = 3 Combine like terms: -15 + -20 = -35 -35 + 5y + 8y = 3 Combine like terms: 5y + 8y = 13y -35 + 13y = 3 Solving -35 + 13y = 3 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 13y = 3 + 35 Combine like terms: -35 + 35 = 0 0 + 13y = 3 + 35 13y = 3 + 35 Combine like terms: 3 + 35 = 38 13y = 38 Divide each side by '13'. y = 2.923076923 Simplifying y = 2.923076923
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