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Simplifying 2(3y + -4) + -5(-8 + 4y) = 2(2y + -1) Reorder the terms: 2(-4 + 3y) + -5(-8 + 4y) = 2(2y + -1) (-4 * 2 + 3y * 2) + -5(-8 + 4y) = 2(2y + -1) (-8 + 6y) + -5(-8 + 4y) = 2(2y + -1) -8 + 6y + (-8 * -5 + 4y * -5) = 2(2y + -1) -8 + 6y + (40 + -20y) = 2(2y + -1) Reorder the terms: -8 + 40 + 6y + -20y = 2(2y + -1) Combine like terms: -8 + 40 = 32 32 + 6y + -20y = 2(2y + -1) Combine like terms: 6y + -20y = -14y 32 + -14y = 2(2y + -1) Reorder the terms: 32 + -14y = 2(-1 + 2y) 32 + -14y = (-1 * 2 + 2y * 2) 32 + -14y = (-2 + 4y) Solving 32 + -14y = -2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 32 + -14y + -4y = -2 + 4y + -4y Combine like terms: -14y + -4y = -18y 32 + -18y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 32 + -18y = -2 + 0 32 + -18y = -2 Add '-32' to each side of the equation. 32 + -32 + -18y = -2 + -32 Combine like terms: 32 + -32 = 0 0 + -18y = -2 + -32 -18y = -2 + -32 Combine like terms: -2 + -32 = -34 -18y = -34 Divide each side by '-18'. y = 1.888888889 Simplifying y = 1.888888889
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