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Simplifying 5y + 8 + -2(-6y + -2) = 3(y + -2) Reorder the terms: 5y + 8 + -2(-2 + -6y) = 3(y + -2) 5y + 8 + (-2 * -2 + -6y * -2) = 3(y + -2) 5y + 8 + (4 + 12y) = 3(y + -2) Reorder the terms: 8 + 4 + 5y + 12y = 3(y + -2) Combine like terms: 8 + 4 = 12 12 + 5y + 12y = 3(y + -2) Combine like terms: 5y + 12y = 17y 12 + 17y = 3(y + -2) Reorder the terms: 12 + 17y = 3(-2 + y) 12 + 17y = (-2 * 3 + y * 3) 12 + 17y = (-6 + 3y) Solving 12 + 17y = -6 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 12 + 17y + -3y = -6 + 3y + -3y Combine like terms: 17y + -3y = 14y 12 + 14y = -6 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 14y = -6 + 0 12 + 14y = -6 Add '-12' to each side of the equation. 12 + -12 + 14y = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 14y = -6 + -12 14y = -6 + -12 Combine like terms: -6 + -12 = -18 14y = -18 Divide each side by '14'. y = -1.285714286 Simplifying y = -1.285714286
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