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Simplifying y + 3(y + -6) = 2(3 + -1y) + 3y Reorder the terms: y + 3(-6 + y) = 2(3 + -1y) + 3y y + (-6 * 3 + y * 3) = 2(3 + -1y) + 3y y + (-18 + 3y) = 2(3 + -1y) + 3y Reorder the terms: -18 + y + 3y = 2(3 + -1y) + 3y Combine like terms: y + 3y = 4y -18 + 4y = 2(3 + -1y) + 3y -18 + 4y = (3 * 2 + -1y * 2) + 3y -18 + 4y = (6 + -2y) + 3y Combine like terms: -2y + 3y = 1y -18 + 4y = 6 + 1y Solving -18 + 4y = 6 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -18 + 4y + -1y = 6 + 1y + -1y Combine like terms: 4y + -1y = 3y -18 + 3y = 6 + 1y + -1y Combine like terms: 1y + -1y = 0 -18 + 3y = 6 + 0 -18 + 3y = 6 Add '18' to each side of the equation. -18 + 18 + 3y = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = 6 + 18 3y = 6 + 18 Combine like terms: 6 + 18 = 24 3y = 24 Divide each side by '3'. y = 8 Simplifying y = 8
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