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Simplifying 8 + 2(4y + -3) = -3(5y + -2) + 5y Reorder the terms: 8 + 2(-3 + 4y) = -3(5y + -2) + 5y 8 + (-3 * 2 + 4y * 2) = -3(5y + -2) + 5y 8 + (-6 + 8y) = -3(5y + -2) + 5y Combine like terms: 8 + -6 = 2 2 + 8y = -3(5y + -2) + 5y Reorder the terms: 2 + 8y = -3(-2 + 5y) + 5y 2 + 8y = (-2 * -3 + 5y * -3) + 5y 2 + 8y = (6 + -15y) + 5y Combine like terms: -15y + 5y = -10y 2 + 8y = 6 + -10y Solving 2 + 8y = 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. 2 + 8y + 10y = 6 + -10y + 10y Combine like terms: 8y + 10y = 18y 2 + 18y = 6 + -10y + 10y Combine like terms: -10y + 10y = 0 2 + 18y = 6 + 0 2 + 18y = 6 Add '-2' to each side of the equation. 2 + -2 + 18y = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 18y = 6 + -2 18y = 6 + -2 Combine like terms: 6 + -2 = 4 18y = 4 Divide each side by '18'. y = 0.2222222222 Simplifying y = 0.2222222222
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