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