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Simplifying -6(4y + -1) + 7y = -3(y + 4) Reorder the terms: -6(-1 + 4y) + 7y = -3(y + 4) (-1 * -6 + 4y * -6) + 7y = -3(y + 4) (6 + -24y) + 7y = -3(y + 4) Combine like terms: -24y + 7y = -17y 6 + -17y = -3(y + 4) Reorder the terms: 6 + -17y = -3(4 + y) 6 + -17y = (4 * -3 + y * -3) 6 + -17y = (-12 + -3y) Solving 6 + -17y = -12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 6 + -17y + 3y = -12 + -3y + 3y Combine like terms: -17y + 3y = -14y 6 + -14y = -12 + -3y + 3y Combine like terms: -3y + 3y = 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 = -18 -14y = -18 Divide each side by '-14'. y = 1.285714286 Simplifying y = 1.285714286
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