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Simplifying 3y + 8 = 6y + 3 + -21 Reorder the terms: 8 + 3y = 6y + 3 + -21 Reorder the terms: 8 + 3y = 3 + -21 + 6y Combine like terms: 3 + -21 = -18 8 + 3y = -18 + 6y Solving 8 + 3y = -18 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 8 + 3y + -6y = -18 + 6y + -6y Combine like terms: 3y + -6y = -3y 8 + -3y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 8 + -3y = -18 + 0 8 + -3y = -18 Add '-8' to each side of the equation. 8 + -8 + -3y = -18 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = -18 + -8 -3y = -18 + -8 Combine like terms: -18 + -8 = -26 -3y = -26 Divide each side by '-3'. y = 8.666666667 Simplifying y = 8.666666667
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