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Simplifying 35 + 5y + -8 = 17y + -13 + -2y Reorder the terms: 35 + -8 + 5y = 17y + -13 + -2y Combine like terms: 35 + -8 = 27 27 + 5y = 17y + -13 + -2y Reorder the terms: 27 + 5y = -13 + 17y + -2y Combine like terms: 17y + -2y = 15y 27 + 5y = -13 + 15y Solving 27 + 5y = -13 + 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. 27 + 5y + -15y = -13 + 15y + -15y Combine like terms: 5y + -15y = -10y 27 + -10y = -13 + 15y + -15y Combine like terms: 15y + -15y = 0 27 + -10y = -13 + 0 27 + -10y = -13 Add '-27' to each side of the equation. 27 + -27 + -10y = -13 + -27 Combine like terms: 27 + -27 = 0 0 + -10y = -13 + -27 -10y = -13 + -27 Combine like terms: -13 + -27 = -40 -10y = -40 Divide each side by '-10'. y = 4 Simplifying y = 4
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