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Simplifying 5y + -2(4y + -1) = 2(3y + -1) Reorder the terms: 5y + -2(-1 + 4y) = 2(3y + -1) 5y + (-1 * -2 + 4y * -2) = 2(3y + -1) 5y + (2 + -8y) = 2(3y + -1) Reorder the terms: 2 + 5y + -8y = 2(3y + -1) Combine like terms: 5y + -8y = -3y 2 + -3y = 2(3y + -1) Reorder the terms: 2 + -3y = 2(-1 + 3y) 2 + -3y = (-1 * 2 + 3y * 2) 2 + -3y = (-2 + 6y) Solving 2 + -3y = -2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 2 + -3y + -6y = -2 + 6y + -6y Combine like terms: -3y + -6y = -9y 2 + -9y = -2 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -9y = -2 + 0 2 + -9y = -2 Add '-2' to each side of the equation. 2 + -2 + -9y = -2 + -2 Combine like terms: 2 + -2 = 0 0 + -9y = -2 + -2 -9y = -2 + -2 Combine like terms: -2 + -2 = -4 -9y = -4 Divide each side by '-9'. y = 0.4444444444 Simplifying y = 0.4444444444
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