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