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Simplifying 5(y + -3) + -2(3 + -2) = 6 Reorder the terms: 5(-3 + y) + -2(3 + -2) = 6 (-3 * 5 + y * 5) + -2(3 + -2) = 6 (-15 + 5y) + -2(3 + -2) = 6 Combine like terms: 3 + -2 = 1 -15 + 5y + -2(1) = 6 Multiply -2 * 1 -15 + 5y + -2 = 6 Reorder the terms: -15 + -2 + 5y = 6 Combine like terms: -15 + -2 = -17 -17 + 5y = 6 Solving -17 + 5y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 5y = 6 + 17 Combine like terms: -17 + 17 = 0 0 + 5y = 6 + 17 5y = 6 + 17 Combine like terms: 6 + 17 = 23 5y = 23 Divide each side by '5'. y = 4.6 Simplifying y = 4.6
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