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Simplifying 47 + 5y + -21 = 17y + -14 + -2y Reorder the terms: 47 + -21 + 5y = 17y + -14 + -2y Combine like terms: 47 + -21 = 26 26 + 5y = 17y + -14 + -2y Reorder the terms: 26 + 5y = -14 + 17y + -2y Combine like terms: 17y + -2y = 15y 26 + 5y = -14 + 15y Solving 26 + 5y = -14 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 26 + 5y + -15y = -14 + 15y + -15y Combine like terms: 5y + -15y = -10y 26 + -10y = -14 + 15y + -15y Combine like terms: 15y + -15y = 0 26 + -10y = -14 + 0 26 + -10y = -14 Add '-26' to each side of the equation. 26 + -26 + -10y = -14 + -26 Combine like terms: 26 + -26 = 0 0 + -10y = -14 + -26 -10y = -14 + -26 Combine like terms: -14 + -26 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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