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Simplifying 8y + 6 + -12y = 2y + 9 + -3y Reorder the terms: 6 + 8y + -12y = 2y + 9 + -3y Combine like terms: 8y + -12y = -4y 6 + -4y = 2y + 9 + -3y Reorder the terms: 6 + -4y = 9 + 2y + -3y Combine like terms: 2y + -3y = -1y 6 + -4y = 9 + -1y Solving 6 + -4y = 9 + -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. 6 + -4y + y = 9 + -1y + y Combine like terms: -4y + y = -3y 6 + -3y = 9 + -1y + y Combine like terms: -1y + y = 0 6 + -3y = 9 + 0 6 + -3y = 9 Add '-6' to each side of the equation. 6 + -6 + -3y = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -3y = 9 + -6 -3y = 9 + -6 Combine like terms: 9 + -6 = 3 -3y = 3 Divide each side by '-3'. y = -1 Simplifying y = -1
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