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Simplifying 5y + 12 = -3y + -5 Reorder the terms: 12 + 5y = -3y + -5 Reorder the terms: 12 + 5y = -5 + -3y Solving 12 + 5y = -5 + -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 = -5 + -3y + 3y Combine like terms: 5y + 3y = 8y 12 + 8y = -5 + -3y + 3y Combine like terms: -3y + 3y = 0 12 + 8y = -5 + 0 12 + 8y = -5 Add '-12' to each side of the equation. 12 + -12 + 8y = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 8y = -5 + -12 8y = -5 + -12 Combine like terms: -5 + -12 = -17 8y = -17 Divide each side by '8'. y = -2.125 Simplifying y = -2.125
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