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Simplifying 10y + -9y = 7y + -46 Combine like terms: 10y + -9y = 1y 1y = 7y + -46 Reorder the terms: 1y = -46 + 7y Solving 1y = -46 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 1y + -7y = -46 + 7y + -7y Combine like terms: 1y + -7y = -6y -6y = -46 + 7y + -7y Combine like terms: 7y + -7y = 0 -6y = -46 + 0 -6y = -46 Divide each side by '-6'. y = 7.666666667 Simplifying y = 7.666666667
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