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Simplifying 12y + -6y + 180 = 12y + 78 Reorder the terms: 180 + 12y + -6y = 12y + 78 Combine like terms: 12y + -6y = 6y 180 + 6y = 12y + 78 Reorder the terms: 180 + 6y = 78 + 12y Solving 180 + 6y = 78 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 180 + 6y + -12y = 78 + 12y + -12y Combine like terms: 6y + -12y = -6y 180 + -6y = 78 + 12y + -12y Combine like terms: 12y + -12y = 0 180 + -6y = 78 + 0 180 + -6y = 78 Add '-180' to each side of the equation. 180 + -180 + -6y = 78 + -180 Combine like terms: 180 + -180 = 0 0 + -6y = 78 + -180 -6y = 78 + -180 Combine like terms: 78 + -180 = -102 -6y = -102 Divide each side by '-6'. y = 17 Simplifying y = 17
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