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Simplifying -2y + -3y + 8 = 5y + -12 Reorder the terms: 8 + -2y + -3y = 5y + -12 Combine like terms: -2y + -3y = -5y 8 + -5y = 5y + -12 Reorder the terms: 8 + -5y = -12 + 5y Solving 8 + -5y = -12 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 8 + -5y + -5y = -12 + 5y + -5y Combine like terms: -5y + -5y = -10y 8 + -10y = -12 + 5y + -5y Combine like terms: 5y + -5y = 0 8 + -10y = -12 + 0 8 + -10y = -12 Add '-8' to each side of the equation. 8 + -8 + -10y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10y = -12 + -8 -10y = -12 + -8 Combine like terms: -12 + -8 = -20 -10y = -20 Divide each side by '-10'. y = 2 Simplifying y = 2
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