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Simplifying -2(5y + -1) + 8y = 6 + 2(6y + -3) Reorder the terms: -2(-1 + 5y) + 8y = 6 + 2(6y + -3) (-1 * -2 + 5y * -2) + 8y = 6 + 2(6y + -3) (2 + -10y) + 8y = 6 + 2(6y + -3) Combine like terms: -10y + 8y = -2y 2 + -2y = 6 + 2(6y + -3) Reorder the terms: 2 + -2y = 6 + 2(-3 + 6y) 2 + -2y = 6 + (-3 * 2 + 6y * 2) 2 + -2y = 6 + (-6 + 12y) Combine like terms: 6 + -6 = 0 2 + -2y = 0 + 12y 2 + -2y = 12y Solving 2 + -2y = 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. 2 + -2y + -12y = 12y + -12y Combine like terms: -2y + -12y = -14y 2 + -14y = 12y + -12y Combine like terms: 12y + -12y = 0 2 + -14y = 0 Add '-2' to each side of the equation. 2 + -2 + -14y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -14y = 0 + -2 -14y = 0 + -2 Combine like terms: 0 + -2 = -2 -14y = -2 Divide each side by '-14'. y = 0.1428571429 Simplifying y = 0.1428571429
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