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Simplifying -4(3y + -7) + 7y = 7(y + 2) Reorder the terms: -4(-7 + 3y) + 7y = 7(y + 2) (-7 * -4 + 3y * -4) + 7y = 7(y + 2) (28 + -12y) + 7y = 7(y + 2) Combine like terms: -12y + 7y = -5y 28 + -5y = 7(y + 2) Reorder the terms: 28 + -5y = 7(2 + y) 28 + -5y = (2 * 7 + y * 7) 28 + -5y = (14 + 7y) Solving 28 + -5y = 14 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 28 + -5y + -7y = 14 + 7y + -7y Combine like terms: -5y + -7y = -12y 28 + -12y = 14 + 7y + -7y Combine like terms: 7y + -7y = 0 28 + -12y = 14 + 0 28 + -12y = 14 Add '-28' to each side of the equation. 28 + -28 + -12y = 14 + -28 Combine like terms: 28 + -28 = 0 0 + -12y = 14 + -28 -12y = 14 + -28 Combine like terms: 14 + -28 = -14 -12y = -14 Divide each side by '-12'. y = 1.166666667 Simplifying y = 1.166666667
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