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Simplifying 5y + 12 = -3y + 12 Reorder the terms: 12 + 5y = -3y + 12 Reorder the terms: 12 + 5y = 12 + -3y Add '-12' to each side of the equation. 12 + -12 + 5y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 0 + 5y = 12 + -12 + -3y 5y = 12 + -12 + -3y Combine like terms: 12 + -12 = 0 5y = 0 + -3y 5y = -3y Solving 5y = -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. 5y + 3y = -3y + 3y Combine like terms: 5y + 3y = 8y 8y = -3y + 3y Combine like terms: -3y + 3y = 0 8y = 0 Divide each side by '8'. y = 0 Simplifying y = 0
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