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Simplifying 6y + 2 + 3y + 6 = 13y + -12 Reorder the terms: 2 + 6 + 6y + 3y = 13y + -12 Combine like terms: 2 + 6 = 8 8 + 6y + 3y = 13y + -12 Combine like terms: 6y + 3y = 9y 8 + 9y = 13y + -12 Reorder the terms: 8 + 9y = -12 + 13y Solving 8 + 9y = -12 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 8 + 9y + -13y = -12 + 13y + -13y Combine like terms: 9y + -13y = -4y 8 + -4y = -12 + 13y + -13y Combine like terms: 13y + -13y = 0 8 + -4y = -12 + 0 8 + -4y = -12 Add '-8' to each side of the equation. 8 + -8 + -4y = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4y = -12 + -8 -4y = -12 + -8 Combine like terms: -12 + -8 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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