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Simplifying 8 + 2(2y + -3) = -5(4y + -2) + 8y Reorder the terms: 8 + 2(-3 + 2y) = -5(4y + -2) + 8y 8 + (-3 * 2 + 2y * 2) = -5(4y + -2) + 8y 8 + (-6 + 4y) = -5(4y + -2) + 8y Combine like terms: 8 + -6 = 2 2 + 4y = -5(4y + -2) + 8y Reorder the terms: 2 + 4y = -5(-2 + 4y) + 8y 2 + 4y = (-2 * -5 + 4y * -5) + 8y 2 + 4y = (10 + -20y) + 8y Combine like terms: -20y + 8y = -12y 2 + 4y = 10 + -12y Solving 2 + 4y = 10 + -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. 2 + 4y + 12y = 10 + -12y + 12y Combine like terms: 4y + 12y = 16y 2 + 16y = 10 + -12y + 12y Combine like terms: -12y + 12y = 0 2 + 16y = 10 + 0 2 + 16y = 10 Add '-2' to each side of the equation. 2 + -2 + 16y = 10 + -2 Combine like terms: 2 + -2 = 0 0 + 16y = 10 + -2 16y = 10 + -2 Combine like terms: 10 + -2 = 8 16y = 8 Divide each side by '16'. y = 0.5 Simplifying y = 0.5
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