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Simplifying 3y + -1y + 2y + -6 = 7 + -2y + 5 Reorder the terms: -6 + 3y + -1y + 2y = 7 + -2y + 5 Combine like terms: 3y + -1y = 2y -6 + 2y + 2y = 7 + -2y + 5 Combine like terms: 2y + 2y = 4y -6 + 4y = 7 + -2y + 5 Reorder the terms: -6 + 4y = 7 + 5 + -2y Combine like terms: 7 + 5 = 12 -6 + 4y = 12 + -2y Solving -6 + 4y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. -6 + 4y + 2y = 12 + -2y + 2y Combine like terms: 4y + 2y = 6y -6 + 6y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 -6 + 6y = 12 + 0 -6 + 6y = 12 Add '6' to each side of the equation. -6 + 6 + 6y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 6y = 12 + 6 6y = 12 + 6 Combine like terms: 12 + 6 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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