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Simplifying 6(2y + -3) = 3(2y + 1) Reorder the terms: 6(-3 + 2y) = 3(2y + 1) (-3 * 6 + 2y * 6) = 3(2y + 1) (-18 + 12y) = 3(2y + 1) Reorder the terms: -18 + 12y = 3(1 + 2y) -18 + 12y = (1 * 3 + 2y * 3) -18 + 12y = (3 + 6y) Solving -18 + 12y = 3 + 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. -18 + 12y + -6y = 3 + 6y + -6y Combine like terms: 12y + -6y = 6y -18 + 6y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -18 + 6y = 3 + 0 -18 + 6y = 3 Add '18' to each side of the equation. -18 + 18 + 6y = 3 + 18 Combine like terms: -18 + 18 = 0 0 + 6y = 3 + 18 6y = 3 + 18 Combine like terms: 3 + 18 = 21 6y = 21 Divide each side by '6'. y = 3.5 Simplifying y = 3.5
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