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Simplifying 12 + 4y + -7 = 6y + -9 Reorder the terms: 12 + -7 + 4y = 6y + -9 Combine like terms: 12 + -7 = 5 5 + 4y = 6y + -9 Reorder the terms: 5 + 4y = -9 + 6y Solving 5 + 4y = -9 + 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 + 4y + -6y = -9 + 6y + -6y Combine like terms: 4y + -6y = -2y 5 + -2y = -9 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -2y = -9 + 0 5 + -2y = -9 Add '-5' to each side of the equation. 5 + -5 + -2y = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = -9 + -5 -2y = -9 + -5 Combine like terms: -9 + -5 = -14 -2y = -14 Divide each side by '-2'. y = 7 Simplifying y = 7
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