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Simplifying 6(y + -3) = 4(6 + y) Reorder the terms: 6(-3 + y) = 4(6 + y) (-3 * 6 + y * 6) = 4(6 + y) (-18 + 6y) = 4(6 + y) -18 + 6y = (6 * 4 + y * 4) -18 + 6y = (24 + 4y) Solving -18 + 6y = 24 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -18 + 6y + -4y = 24 + 4y + -4y Combine like terms: 6y + -4y = 2y -18 + 2y = 24 + 4y + -4y Combine like terms: 4y + -4y = 0 -18 + 2y = 24 + 0 -18 + 2y = 24 Add '18' to each side of the equation. -18 + 18 + 2y = 24 + 18 Combine like terms: -18 + 18 = 0 0 + 2y = 24 + 18 2y = 24 + 18 Combine like terms: 24 + 18 = 42 2y = 42 Divide each side by '2'. y = 21 Simplifying y = 21
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