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Simplifying 6(y + 3) = 2y + 42 Reorder the terms: 6(3 + y) = 2y + 42 (3 * 6 + y * 6) = 2y + 42 (18 + 6y) = 2y + 42 Reorder the terms: 18 + 6y = 42 + 2y Solving 18 + 6y = 42 + 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 = 42 + 2y + -2y Combine like terms: 6y + -2y = 4y 18 + 4y = 42 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 4y = 42 + 0 18 + 4y = 42 Add '-18' to each side of the equation. 18 + -18 + 4y = 42 + -18 Combine like terms: 18 + -18 = 0 0 + 4y = 42 + -18 4y = 42 + -18 Combine like terms: 42 + -18 = 24 4y = 24 Divide each side by '4'. y = 6 Simplifying y = 6
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