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Simplifying 8 + 2(3y + -1) = -4(3y + -3) + 4y Reorder the terms: 8 + 2(-1 + 3y) = -4(3y + -3) + 4y 8 + (-1 * 2 + 3y * 2) = -4(3y + -3) + 4y 8 + (-2 + 6y) = -4(3y + -3) + 4y Combine like terms: 8 + -2 = 6 6 + 6y = -4(3y + -3) + 4y Reorder the terms: 6 + 6y = -4(-3 + 3y) + 4y 6 + 6y = (-3 * -4 + 3y * -4) + 4y 6 + 6y = (12 + -12y) + 4y Combine like terms: -12y + 4y = -8y 6 + 6y = 12 + -8y Solving 6 + 6y = 12 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 6 + 6y + 8y = 12 + -8y + 8y Combine like terms: 6y + 8y = 14y 6 + 14y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 6 + 14y = 12 + 0 6 + 14y = 12 Add '-6' to each side of the equation. 6 + -6 + 14y = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 14y = 12 + -6 14y = 12 + -6 Combine like terms: 12 + -6 = 6 14y = 6 Divide each side by '14'. y = 0.4285714286 Simplifying y = 0.4285714286
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