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Simplifying 34 + 3y + -6 = 15y + -14 + -5y Reorder the terms: 34 + -6 + 3y = 15y + -14 + -5y Combine like terms: 34 + -6 = 28 28 + 3y = 15y + -14 + -5y Reorder the terms: 28 + 3y = -14 + 15y + -5y Combine like terms: 15y + -5y = 10y 28 + 3y = -14 + 10y Solving 28 + 3y = -14 + 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. 28 + 3y + -10y = -14 + 10y + -10y Combine like terms: 3y + -10y = -7y 28 + -7y = -14 + 10y + -10y Combine like terms: 10y + -10y = 0 28 + -7y = -14 + 0 28 + -7y = -14 Add '-28' to each side of the equation. 28 + -28 + -7y = -14 + -28 Combine like terms: 28 + -28 = 0 0 + -7y = -14 + -28 -7y = -14 + -28 Combine like terms: -14 + -28 = -42 -7y = -42 Divide each side by '-7'. y = 6 Simplifying y = 6
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