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Simplifying 3y = 7[5 + -3(7 + -1y)] 3y = 7[5 + (7 * -3 + -1y * -3)] 3y = 7[5 + (-21 + 3y)] Combine like terms: 5 + -21 = -16 3y = 7[-16 + 3y] 3y = [-16 * 7 + 3y * 7] 3y = [-112 + 21y] Solving 3y = -112 + 21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21y' to each side of the equation. 3y + -21y = -112 + 21y + -21y Combine like terms: 3y + -21y = -18y -18y = -112 + 21y + -21y Combine like terms: 21y + -21y = 0 -18y = -112 + 0 -18y = -112 Divide each side by '-18'. y = 6.222222222 Simplifying y = 6.222222222
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