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Simplifying 5y + 6 + -17 = 6y + 14 + -2y + -20 Reorder the terms: 6 + -17 + 5y = 6y + 14 + -2y + -20 Combine like terms: 6 + -17 = -11 -11 + 5y = 6y + 14 + -2y + -20 Reorder the terms: -11 + 5y = 14 + -20 + 6y + -2y Combine like terms: 14 + -20 = -6 -11 + 5y = -6 + 6y + -2y Combine like terms: 6y + -2y = 4y -11 + 5y = -6 + 4y Solving -11 + 5y = -6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -11 + 5y + -4y = -6 + 4y + -4y Combine like terms: 5y + -4y = 1y -11 + 1y = -6 + 4y + -4y Combine like terms: 4y + -4y = 0 -11 + 1y = -6 + 0 -11 + 1y = -6 Add '11' to each side of the equation. -11 + 11 + 1y = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 1y = -6 + 11 1y = -6 + 11 Combine like terms: -6 + 11 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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