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Simplifying 12 + -3y = 52 + 5y Solving 12 + -3y = 52 + 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. 12 + -3y + -5y = 52 + 5y + -5y Combine like terms: -3y + -5y = -8y 12 + -8y = 52 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -8y = 52 + 0 12 + -8y = 52 Add '-12' to each side of the equation. 12 + -12 + -8y = 52 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = 52 + -12 -8y = 52 + -12 Combine like terms: 52 + -12 = 40 -8y = 40 Divide each side by '-8'. y = -5 Simplifying y = -5
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