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Simplifying -7y + 12 = 2y + -6 Reorder the terms: 12 + -7y = 2y + -6 Reorder the terms: 12 + -7y = -6 + 2y Solving 12 + -7y = -6 + 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. 12 + -7y + -2y = -6 + 2y + -2y Combine like terms: -7y + -2y = -9y 12 + -9y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -9y = -6 + 0 12 + -9y = -6 Add '-12' to each side of the equation. 12 + -12 + -9y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + -9y = -6 + -12 -9y = -6 + -12 Combine like terms: -6 + -12 = -18 -9y = -18 Divide each side by '-9'. y = 2 Simplifying y = 2
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