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