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Simplifying 2(2y + -1) = -5(y + -5) Reorder the terms: 2(-1 + 2y) = -5(y + -5) (-1 * 2 + 2y * 2) = -5(y + -5) (-2 + 4y) = -5(y + -5) Reorder the terms: -2 + 4y = -5(-5 + y) -2 + 4y = (-5 * -5 + y * -5) -2 + 4y = (25 + -5y) Solving -2 + 4y = 25 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -2 + 4y + 5y = 25 + -5y + 5y Combine like terms: 4y + 5y = 9y -2 + 9y = 25 + -5y + 5y Combine like terms: -5y + 5y = 0 -2 + 9y = 25 + 0 -2 + 9y = 25 Add '2' to each side of the equation. -2 + 2 + 9y = 25 + 2 Combine like terms: -2 + 2 = 0 0 + 9y = 25 + 2 9y = 25 + 2 Combine like terms: 25 + 2 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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