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Simplifying 44 + 3y + -15 = 15y + -13 + -5y Reorder the terms: 44 + -15 + 3y = 15y + -13 + -5y Combine like terms: 44 + -15 = 29 29 + 3y = 15y + -13 + -5y Reorder the terms: 29 + 3y = -13 + 15y + -5y Combine like terms: 15y + -5y = 10y 29 + 3y = -13 + 10y Solving 29 + 3y = -13 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 29 + 3y + -10y = -13 + 10y + -10y Combine like terms: 3y + -10y = -7y 29 + -7y = -13 + 10y + -10y Combine like terms: 10y + -10y = 0 29 + -7y = -13 + 0 29 + -7y = -13 Add '-29' to each side of the equation. 29 + -29 + -7y = -13 + -29 Combine like terms: 29 + -29 = 0 0 + -7y = -13 + -29 -7y = -13 + -29 Combine like terms: -13 + -29 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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