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Simplifying 30 + 5y + -11 = 17y + -11 + -2y Reorder the terms: 30 + -11 + 5y = 17y + -11 + -2y Combine like terms: 30 + -11 = 19 19 + 5y = 17y + -11 + -2y Reorder the terms: 19 + 5y = -11 + 17y + -2y Combine like terms: 17y + -2y = 15y 19 + 5y = -11 + 15y Solving 19 + 5y = -11 + 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. 19 + 5y + -15y = -11 + 15y + -15y Combine like terms: 5y + -15y = -10y 19 + -10y = -11 + 15y + -15y Combine like terms: 15y + -15y = 0 19 + -10y = -11 + 0 19 + -10y = -11 Add '-19' to each side of the equation. 19 + -19 + -10y = -11 + -19 Combine like terms: 19 + -19 = 0 0 + -10y = -11 + -19 -10y = -11 + -19 Combine like terms: -11 + -19 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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