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Simplifying 17y + 5 + -3y + 1 = 12y + 2 Reorder the terms: 5 + 1 + 17y + -3y = 12y + 2 Combine like terms: 5 + 1 = 6 6 + 17y + -3y = 12y + 2 Combine like terms: 17y + -3y = 14y 6 + 14y = 12y + 2 Reorder the terms: 6 + 14y = 2 + 12y Solving 6 + 14y = 2 + 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. 6 + 14y + -12y = 2 + 12y + -12y Combine like terms: 14y + -12y = 2y 6 + 2y = 2 + 12y + -12y Combine like terms: 12y + -12y = 0 6 + 2y = 2 + 0 6 + 2y = 2 Add '-6' to each side of the equation. 6 + -6 + 2y = 2 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = 2 + -6 2y = 2 + -6 Combine like terms: 2 + -6 = -4 2y = -4 Divide each side by '2'. y = -2 Simplifying y = -2
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