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Simplifying 5y + 8 + -6y + -2y = 21 + -2y + 14 + -4y Reorder the terms: 8 + 5y + -6y + -2y = 21 + -2y + 14 + -4y Combine like terms: 5y + -6y = -1y 8 + -1y + -2y = 21 + -2y + 14 + -4y Combine like terms: -1y + -2y = -3y 8 + -3y = 21 + -2y + 14 + -4y Reorder the terms: 8 + -3y = 21 + 14 + -2y + -4y Combine like terms: 21 + 14 = 35 8 + -3y = 35 + -2y + -4y Combine like terms: -2y + -4y = -6y 8 + -3y = 35 + -6y Solving 8 + -3y = 35 + -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 = 35 + -6y + 6y Combine like terms: -3y + 6y = 3y 8 + 3y = 35 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 3y = 35 + 0 8 + 3y = 35 Add '-8' to each side of the equation. 8 + -8 + 3y = 35 + -8 Combine like terms: 8 + -8 = 0 0 + 3y = 35 + -8 3y = 35 + -8 Combine like terms: 35 + -8 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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