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Simplifying -5y + -12 = 3y + 20 Reorder the terms: -12 + -5y = 3y + 20 Reorder the terms: -12 + -5y = 20 + 3y Solving -12 + -5y = 20 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -12 + -5y + -3y = 20 + 3y + -3y Combine like terms: -5y + -3y = -8y -12 + -8y = 20 + 3y + -3y Combine like terms: 3y + -3y = 0 -12 + -8y = 20 + 0 -12 + -8y = 20 Add '12' to each side of the equation. -12 + 12 + -8y = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -8y = 20 + 12 -8y = 20 + 12 Combine like terms: 20 + 12 = 32 -8y = 32 Divide each side by '-8'. y = -4 Simplifying y = -4
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