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Simplifying -2(7y + -6) + 7y = 5(y + 4) Reorder the terms: -2(-6 + 7y) + 7y = 5(y + 4) (-6 * -2 + 7y * -2) + 7y = 5(y + 4) (12 + -14y) + 7y = 5(y + 4) Combine like terms: -14y + 7y = -7y 12 + -7y = 5(y + 4) Reorder the terms: 12 + -7y = 5(4 + y) 12 + -7y = (4 * 5 + y * 5) 12 + -7y = (20 + 5y) Solving 12 + -7y = 20 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 12 + -7y + -5y = 20 + 5y + -5y Combine like terms: -7y + -5y = -12y 12 + -12y = 20 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + -12y = 20 + 0 12 + -12y = 20 Add '-12' to each side of the equation. 12 + -12 + -12y = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -12y = 20 + -12 -12y = 20 + -12 Combine like terms: 20 + -12 = 8 -12y = 8 Divide each side by '-12'. y = -0.6666666667 Simplifying y = -0.6666666667
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