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Simplifying 12 + 3y + 2 = 17y + -6 + (-12y) Reorder the terms: 12 + 2 + 3y = 17y + -6 + (-12y) Combine like terms: 12 + 2 = 14 14 + 3y = 17y + -6 + (-12y) Reorder the terms: 14 + 3y = -6 + 17y + (-12y) Combine like terms: 17y + (-12y) = 5y 14 + 3y = -6 + 5y Solving 14 + 3y = -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. 14 + 3y + -5y = -6 + 5y + -5y Combine like terms: 3y + -5y = -2y 14 + -2y = -6 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + -2y = -6 + 0 14 + -2y = -6 Add '-14' to each side of the equation. 14 + -14 + -2y = -6 + -14 Combine like terms: 14 + -14 = 0 0 + -2y = -6 + -14 -2y = -6 + -14 Combine like terms: -6 + -14 = -20 -2y = -20 Divide each side by '-2'. y = 10 Simplifying y = 10
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