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Simplifying -2y + 3(4 + -1y) = 12 + 17y -2y + (4 * 3 + -1y * 3) = 12 + 17y -2y + (12 + -3y) = 12 + 17y Reorder the terms: 12 + -2y + -3y = 12 + 17y Combine like terms: -2y + -3y = -5y 12 + -5y = 12 + 17y Add '-12' to each side of the equation. 12 + -12 + -5y = 12 + -12 + 17y Combine like terms: 12 + -12 = 0 0 + -5y = 12 + -12 + 17y -5y = 12 + -12 + 17y Combine like terms: 12 + -12 = 0 -5y = 0 + 17y -5y = 17y Solving -5y = 17y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-17y' to each side of the equation. -5y + -17y = 17y + -17y Combine like terms: -5y + -17y = -22y -22y = 17y + -17y Combine like terms: 17y + -17y = 0 -22y = 0 Divide each side by '-22'. y = 0 Simplifying y = 0
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