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Simplifying -5(y + 1) = 5y + -9 + 2(2y + 5) Reorder the terms: -5(1 + y) = 5y + -9 + 2(2y + 5) (1 * -5 + y * -5) = 5y + -9 + 2(2y + 5) (-5 + -5y) = 5y + -9 + 2(2y + 5) Reorder the terms: -5 + -5y = 5y + -9 + 2(5 + 2y) -5 + -5y = 5y + -9 + (5 * 2 + 2y * 2) -5 + -5y = 5y + -9 + (10 + 4y) Reorder the terms: -5 + -5y = -9 + 10 + 5y + 4y Combine like terms: -9 + 10 = 1 -5 + -5y = 1 + 5y + 4y Combine like terms: 5y + 4y = 9y -5 + -5y = 1 + 9y Solving -5 + -5y = 1 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -5 + -5y + -9y = 1 + 9y + -9y Combine like terms: -5y + -9y = -14y -5 + -14y = 1 + 9y + -9y Combine like terms: 9y + -9y = 0 -5 + -14y = 1 + 0 -5 + -14y = 1 Add '5' to each side of the equation. -5 + 5 + -14y = 1 + 5 Combine like terms: -5 + 5 = 0 0 + -14y = 1 + 5 -14y = 1 + 5 Combine like terms: 1 + 5 = 6 -14y = 6 Divide each side by '-14'. y = -0.4285714286 Simplifying y = -0.4285714286
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