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Simplifying -2(y + -3) + -8y + 6 = 4(y + -2) Reorder the terms: -2(-3 + y) + -8y + 6 = 4(y + -2) (-3 * -2 + y * -2) + -8y + 6 = 4(y + -2) (6 + -2y) + -8y + 6 = 4(y + -2) Reorder the terms: 6 + 6 + -2y + -8y = 4(y + -2) Combine like terms: 6 + 6 = 12 12 + -2y + -8y = 4(y + -2) Combine like terms: -2y + -8y = -10y 12 + -10y = 4(y + -2) Reorder the terms: 12 + -10y = 4(-2 + y) 12 + -10y = (-2 * 4 + y * 4) 12 + -10y = (-8 + 4y) Solving 12 + -10y = -8 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -10y + -4y = -8 + 4y + -4y Combine like terms: -10y + -4y = -14y 12 + -14y = -8 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -14y = -8 + 0 12 + -14y = -8 Add '-12' to each side of the equation. 12 + -12 + -14y = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -14y = -8 + -12 -14y = -8 + -12 Combine like terms: -8 + -12 = -20 -14y = -20 Divide each side by '-14'. y = 1.428571429 Simplifying y = 1.428571429
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