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Simplifying -2(y + 5) = 8y + -8 + 2(2y + 8) Reorder the terms: -2(5 + y) = 8y + -8 + 2(2y + 8) (5 * -2 + y * -2) = 8y + -8 + 2(2y + 8) (-10 + -2y) = 8y + -8 + 2(2y + 8) Reorder the terms: -10 + -2y = 8y + -8 + 2(8 + 2y) -10 + -2y = 8y + -8 + (8 * 2 + 2y * 2) -10 + -2y = 8y + -8 + (16 + 4y) Reorder the terms: -10 + -2y = -8 + 16 + 8y + 4y Combine like terms: -8 + 16 = 8 -10 + -2y = 8 + 8y + 4y Combine like terms: 8y + 4y = 12y -10 + -2y = 8 + 12y Solving -10 + -2y = 8 + 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 = 8 + 12y + -12y Combine like terms: -2y + -12y = -14y -10 + -14y = 8 + 12y + -12y Combine like terms: 12y + -12y = 0 -10 + -14y = 8 + 0 -10 + -14y = 8 Add '10' to each side of the equation. -10 + 10 + -14y = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -14y = 8 + 10 -14y = 8 + 10 Combine like terms: 8 + 10 = 18 -14y = 18 Divide each side by '-14'. y = -1.285714286 Simplifying y = -1.285714286
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