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Simplifying 6(y + -3) = y + 3(4 + -1y) Reorder the terms: 6(-3 + y) = y + 3(4 + -1y) (-3 * 6 + y * 6) = y + 3(4 + -1y) (-18 + 6y) = y + 3(4 + -1y) -18 + 6y = y + (4 * 3 + -1y * 3) -18 + 6y = y + (12 + -3y) Reorder the terms: -18 + 6y = 12 + y + -3y Combine like terms: y + -3y = -2y -18 + 6y = 12 + -2y Solving -18 + 6y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -18 + 6y + 2y = 12 + -2y + 2y Combine like terms: 6y + 2y = 8y -18 + 8y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 -18 + 8y = 12 + 0 -18 + 8y = 12 Add '18' to each side of the equation. -18 + 18 + 8y = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 8y = 12 + 18 8y = 12 + 18 Combine like terms: 12 + 18 = 30 8y = 30 Divide each side by '8'. y = 3.75 Simplifying y = 3.75
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