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Simplifying -2y + -3y + 8 = 8 + -7y + -12 Reorder the terms: 8 + -2y + -3y = 8 + -7y + -12 Combine like terms: -2y + -3y = -5y 8 + -5y = 8 + -7y + -12 Reorder the terms: 8 + -5y = 8 + -12 + -7y Combine like terms: 8 + -12 = -4 8 + -5y = -4 + -7y Solving 8 + -5y = -4 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 8 + -5y + 7y = -4 + -7y + 7y Combine like terms: -5y + 7y = 2y 8 + 2y = -4 + -7y + 7y Combine like terms: -7y + 7y = 0 8 + 2y = -4 + 0 8 + 2y = -4 Add '-8' to each side of the equation. 8 + -8 + 2y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = -4 + -8 2y = -4 + -8 Combine like terms: -4 + -8 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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