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Simplifying 3y + 1 + -2(-7y + -6) = 5(y + -1) Reorder the terms: 3y + 1 + -2(-6 + -7y) = 5(y + -1) 3y + 1 + (-6 * -2 + -7y * -2) = 5(y + -1) 3y + 1 + (12 + 14y) = 5(y + -1) Reorder the terms: 1 + 12 + 3y + 14y = 5(y + -1) Combine like terms: 1 + 12 = 13 13 + 3y + 14y = 5(y + -1) Combine like terms: 3y + 14y = 17y 13 + 17y = 5(y + -1) Reorder the terms: 13 + 17y = 5(-1 + y) 13 + 17y = (-1 * 5 + y * 5) 13 + 17y = (-5 + 5y) Solving 13 + 17y = -5 + 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. 13 + 17y + -5y = -5 + 5y + -5y Combine like terms: 17y + -5y = 12y 13 + 12y = -5 + 5y + -5y Combine like terms: 5y + -5y = 0 13 + 12y = -5 + 0 13 + 12y = -5 Add '-13' to each side of the equation. 13 + -13 + 12y = -5 + -13 Combine like terms: 13 + -13 = 0 0 + 12y = -5 + -13 12y = -5 + -13 Combine like terms: -5 + -13 = -18 12y = -18 Divide each side by '12'. y = -1.5 Simplifying y = -1.5
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