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Simplifying 5y + 6 + 2y + -14 = -4y + 1 + 10y Reorder the terms: 6 + -14 + 5y + 2y = -4y + 1 + 10y Combine like terms: 6 + -14 = -8 -8 + 5y + 2y = -4y + 1 + 10y Combine like terms: 5y + 2y = 7y -8 + 7y = -4y + 1 + 10y Reorder the terms: -8 + 7y = 1 + -4y + 10y Combine like terms: -4y + 10y = 6y -8 + 7y = 1 + 6y Solving -8 + 7y = 1 + 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 + 7y + -6y = 1 + 6y + -6y Combine like terms: 7y + -6y = 1y -8 + 1y = 1 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 1y = 1 + 0 -8 + 1y = 1 Add '8' to each side of the equation. -8 + 8 + 1y = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1y = 1 + 8 1y = 1 + 8 Combine like terms: 1 + 8 = 9 1y = 9 Divide each side by '1'. y = 9 Simplifying y = 9
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