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Simplifying 6(y + 3) = 2y + 22 Reorder the terms: 6(3 + y) = 2y + 22 (3 * 6 + y * 6) = 2y + 22 (18 + 6y) = 2y + 22 Reorder the terms: 18 + 6y = 22 + 2y Solving 18 + 6y = 22 + 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 = 22 + 2y + -2y Combine like terms: 6y + -2y = 4y 18 + 4y = 22 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + 4y = 22 + 0 18 + 4y = 22 Add '-18' to each side of the equation. 18 + -18 + 4y = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 4y = 22 + -18 4y = 22 + -18 Combine like terms: 22 + -18 = 4 4y = 4 Divide each side by '4'. y = 1 Simplifying y = 1
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