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Simplifying 5(2y + -1) = 2(4y + -3) Reorder the terms: 5(-1 + 2y) = 2(4y + -3) (-1 * 5 + 2y * 5) = 2(4y + -3) (-5 + 10y) = 2(4y + -3) Reorder the terms: -5 + 10y = 2(-3 + 4y) -5 + 10y = (-3 * 2 + 4y * 2) -5 + 10y = (-6 + 8y) Solving -5 + 10y = -6 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -5 + 10y + -8y = -6 + 8y + -8y Combine like terms: 10y + -8y = 2y -5 + 2y = -6 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + 2y = -6 + 0 -5 + 2y = -6 Add '5' to each side of the equation. -5 + 5 + 2y = -6 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -6 + 5 2y = -6 + 5 Combine like terms: -6 + 5 = -1 2y = -1 Divide each side by '2'. y = -0.5 Simplifying y = -0.5
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