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Simplifying 2(y + 5) = -2(8y + -3) + 6y Reorder the terms: 2(5 + y) = -2(8y + -3) + 6y (5 * 2 + y * 2) = -2(8y + -3) + 6y (10 + 2y) = -2(8y + -3) + 6y Reorder the terms: 10 + 2y = -2(-3 + 8y) + 6y 10 + 2y = (-3 * -2 + 8y * -2) + 6y 10 + 2y = (6 + -16y) + 6y Combine like terms: -16y + 6y = -10y 10 + 2y = 6 + -10y Solving 10 + 2y = 6 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. 10 + 2y + 10y = 6 + -10y + 10y Combine like terms: 2y + 10y = 12y 10 + 12y = 6 + -10y + 10y Combine like terms: -10y + 10y = 0 10 + 12y = 6 + 0 10 + 12y = 6 Add '-10' to each side of the equation. 10 + -10 + 12y = 6 + -10 Combine like terms: 10 + -10 = 0 0 + 12y = 6 + -10 12y = 6 + -10 Combine like terms: 6 + -10 = -4 12y = -4 Divide each side by '12'. y = -0.3333333333 Simplifying y = -0.3333333333
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