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Simplifying 4y + 1 = 7(y + -1) Reorder the terms: 1 + 4y = 7(y + -1) Reorder the terms: 1 + 4y = 7(-1 + y) 1 + 4y = (-1 * 7 + y * 7) 1 + 4y = (-7 + 7y) Solving 1 + 4y = -7 + 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. 1 + 4y + -7y = -7 + 7y + -7y Combine like terms: 4y + -7y = -3y 1 + -3y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 1 + -3y = -7 + 0 1 + -3y = -7 Add '-1' to each side of the equation. 1 + -1 + -3y = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -3y = -7 + -1 -3y = -7 + -1 Combine like terms: -7 + -1 = -8 -3y = -8 Divide each side by '-3'. y = 2.666666667 Simplifying y = 2.666666667
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