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Simplifying 5(y + -3) + -2(3 + -2y) = 6 Reorder the terms: 5(-3 + y) + -2(3 + -2y) = 6 (-3 * 5 + y * 5) + -2(3 + -2y) = 6 (-15 + 5y) + -2(3 + -2y) = 6 -15 + 5y + (3 * -2 + -2y * -2) = 6 -15 + 5y + (-6 + 4y) = 6 Reorder the terms: -15 + -6 + 5y + 4y = 6 Combine like terms: -15 + -6 = -21 -21 + 5y + 4y = 6 Combine like terms: 5y + 4y = 9y -21 + 9y = 6 Solving -21 + 9y = 6 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 9y = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 9y = 6 + 21 9y = 6 + 21 Combine like terms: 6 + 21 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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