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Simplifying 30 + 5y + -12 = 17y + -12 + -2y Reorder the terms: 30 + -12 + 5y = 17y + -12 + -2y Combine like terms: 30 + -12 = 18 18 + 5y = 17y + -12 + -2y Reorder the terms: 18 + 5y = -12 + 17y + -2y Combine like terms: 17y + -2y = 15y 18 + 5y = -12 + 15y Solving 18 + 5y = -12 + 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. 18 + 5y + -15y = -12 + 15y + -15y Combine like terms: 5y + -15y = -10y 18 + -10y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 18 + -10y = -12 + 0 18 + -10y = -12 Add '-18' to each side of the equation. 18 + -18 + -10y = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -10y = -12 + -18 -10y = -12 + -18 Combine like terms: -12 + -18 = -30 -10y = -30 Divide each side by '-10'. y = 3 Simplifying y = 3
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