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Simplifying 21(y + 2) = 3(6y + 7) Reorder the terms: 21(2 + y) = 3(6y + 7) (2 * 21 + y * 21) = 3(6y + 7) (42 + 21y) = 3(6y + 7) Reorder the terms: 42 + 21y = 3(7 + 6y) 42 + 21y = (7 * 3 + 6y * 3) 42 + 21y = (21 + 18y) Solving 42 + 21y = 21 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. 42 + 21y + -18y = 21 + 18y + -18y Combine like terms: 21y + -18y = 3y 42 + 3y = 21 + 18y + -18y Combine like terms: 18y + -18y = 0 42 + 3y = 21 + 0 42 + 3y = 21 Add '-42' to each side of the equation. 42 + -42 + 3y = 21 + -42 Combine like terms: 42 + -42 = 0 0 + 3y = 21 + -42 3y = 21 + -42 Combine like terms: 21 + -42 = -21 3y = -21 Divide each side by '3'. y = -7 Simplifying y = -7
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