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