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Simplifying 5(2y + -4) = 2(2y + -1) Reorder the terms: 5(-4 + 2y) = 2(2y + -1) (-4 * 5 + 2y * 5) = 2(2y + -1) (-20 + 10y) = 2(2y + -1) Reorder the terms: -20 + 10y = 2(-1 + 2y) -20 + 10y = (-1 * 2 + 2y * 2) -20 + 10y = (-2 + 4y) Solving -20 + 10y = -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. -20 + 10y + -4y = -2 + 4y + -4y Combine like terms: 10y + -4y = 6y -20 + 6y = -2 + 4y + -4y Combine like terms: 4y + -4y = 0 -20 + 6y = -2 + 0 -20 + 6y = -2 Add '20' to each side of the equation. -20 + 20 + 6y = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 6y = -2 + 20 6y = -2 + 20 Combine like terms: -2 + 20 = 18 6y = 18 Divide each side by '6'. y = 3 Simplifying y = 3
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