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Simplifying 10y + -5 = 5y + -2y + 44 Reorder the terms: -5 + 10y = 5y + -2y + 44 Reorder the terms: -5 + 10y = 44 + 5y + -2y Combine like terms: 5y + -2y = 3y -5 + 10y = 44 + 3y Solving -5 + 10y = 44 + 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. -5 + 10y + -3y = 44 + 3y + -3y Combine like terms: 10y + -3y = 7y -5 + 7y = 44 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 7y = 44 + 0 -5 + 7y = 44 Add '5' to each side of the equation. -5 + 5 + 7y = 44 + 5 Combine like terms: -5 + 5 = 0 0 + 7y = 44 + 5 7y = 44 + 5 Combine like terms: 44 + 5 = 49 7y = 49 Divide each side by '7'. y = 7 Simplifying y = 7
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