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Simplifying 5y + 3 = 8y + -12 Reorder the terms: 3 + 5y = 8y + -12 Reorder the terms: 3 + 5y = -12 + 8y Solving 3 + 5y = -12 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 3 + 5y + -8y = -12 + 8y + -8y Combine like terms: 5y + -8y = -3y 3 + -3y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 3 + -3y = -12 + 0 3 + -3y = -12 Add '-3' to each side of the equation. 3 + -3 + -3y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -3y = -12 + -3 -3y = -12 + -3 Combine like terms: -12 + -3 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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