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Simplifying 4y + 5y + -6 = y + 7 + 2y + -8 Reorder the terms: -6 + 4y + 5y = y + 7 + 2y + -8 Combine like terms: 4y + 5y = 9y -6 + 9y = y + 7 + 2y + -8 Reorder the terms: -6 + 9y = 7 + -8 + y + 2y Combine like terms: 7 + -8 = -1 -6 + 9y = -1 + y + 2y Combine like terms: y + 2y = 3y -6 + 9y = -1 + 3y Solving -6 + 9y = -1 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -6 + 9y + -3y = -1 + 3y + -3y Combine like terms: 9y + -3y = 6y -6 + 6y = -1 + 3y + -3y Combine like terms: 3y + -3y = 0 -6 + 6y = -1 + 0 -6 + 6y = -1 Add '6' to each side of the equation. -6 + 6 + 6y = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = -1 + 6 6y = -1 + 6 Combine like terms: -1 + 6 = 5 6y = 5 Divide each side by '6'. y = 0.8333333333 Simplifying y = 0.8333333333
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