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Simplifying 6(y + -3) = 5(3 + -1y) Reorder the terms: 6(-3 + y) = 5(3 + -1y) (-3 * 6 + y * 6) = 5(3 + -1y) (-18 + 6y) = 5(3 + -1y) -18 + 6y = (3 * 5 + -1y * 5) -18 + 6y = (15 + -5y) Solving -18 + 6y = 15 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -18 + 6y + 5y = 15 + -5y + 5y Combine like terms: 6y + 5y = 11y -18 + 11y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 -18 + 11y = 15 + 0 -18 + 11y = 15 Add '18' to each side of the equation. -18 + 18 + 11y = 15 + 18 Combine like terms: -18 + 18 = 0 0 + 11y = 15 + 18 11y = 15 + 18 Combine like terms: 15 + 18 = 33 11y = 33 Divide each side by '11'. y = 3 Simplifying y = 3
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