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Simplifying 8y + 4 + -2(-3y + -2) = 2(y + -3) Reorder the terms: 8y + 4 + -2(-2 + -3y) = 2(y + -3) 8y + 4 + (-2 * -2 + -3y * -2) = 2(y + -3) 8y + 4 + (4 + 6y) = 2(y + -3) Reorder the terms: 4 + 4 + 8y + 6y = 2(y + -3) Combine like terms: 4 + 4 = 8 8 + 8y + 6y = 2(y + -3) Combine like terms: 8y + 6y = 14y 8 + 14y = 2(y + -3) Reorder the terms: 8 + 14y = 2(-3 + y) 8 + 14y = (-3 * 2 + y * 2) 8 + 14y = (-6 + 2y) Solving 8 + 14y = -6 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 8 + 14y + -2y = -6 + 2y + -2y Combine like terms: 14y + -2y = 12y 8 + 12y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + 12y = -6 + 0 8 + 12y = -6 Add '-8' to each side of the equation. 8 + -8 + 12y = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 12y = -6 + -8 12y = -6 + -8 Combine like terms: -6 + -8 = -14 12y = -14 Divide each side by '12'. y = -1.166666667 Simplifying y = -1.166666667
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