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Simplifying 4y + y + 5 = 8y + -12 Reorder the terms: 5 + 4y + y = 8y + -12 Combine like terms: 4y + y = 5y 5 + 5y = 8y + -12 Reorder the terms: 5 + 5y = -12 + 8y Solving 5 + 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. 5 + 5y + -8y = -12 + 8y + -8y Combine like terms: 5y + -8y = -3y 5 + -3y = -12 + 8y + -8y Combine like terms: 8y + -8y = 0 5 + -3y = -12 + 0 5 + -3y = -12 Add '-5' to each side of the equation. 5 + -5 + -3y = -12 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = -12 + -5 -3y = -12 + -5 Combine like terms: -12 + -5 = -17 -3y = -17 Divide each side by '-3'. y = 5.666666667 Simplifying y = 5.666666667
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