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Simplifying -2(y + 5) = 2y + -8 + 2(5y + 3) Reorder the terms: -2(5 + y) = 2y + -8 + 2(5y + 3) (5 * -2 + y * -2) = 2y + -8 + 2(5y + 3) (-10 + -2y) = 2y + -8 + 2(5y + 3) Reorder the terms: -10 + -2y = 2y + -8 + 2(3 + 5y) -10 + -2y = 2y + -8 + (3 * 2 + 5y * 2) -10 + -2y = 2y + -8 + (6 + 10y) Reorder the terms: -10 + -2y = -8 + 6 + 2y + 10y Combine like terms: -8 + 6 = -2 -10 + -2y = -2 + 2y + 10y Combine like terms: 2y + 10y = 12y -10 + -2y = -2 + 12y Solving -10 + -2y = -2 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -10 + -2y + -12y = -2 + 12y + -12y Combine like terms: -2y + -12y = -14y -10 + -14y = -2 + 12y + -12y Combine like terms: 12y + -12y = 0 -10 + -14y = -2 + 0 -10 + -14y = -2 Add '10' to each side of the equation. -10 + 10 + -14y = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -14y = -2 + 10 -14y = -2 + 10 Combine like terms: -2 + 10 = 8 -14y = 8 Divide each side by '-14'. y = -0.5714285714 Simplifying y = -0.5714285714
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