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Simplifying 4y + -2 = 7(y + -1) Reorder the terms: -2 + 4y = 7(y + -1) Reorder the terms: -2 + 4y = 7(-1 + y) -2 + 4y = (-1 * 7 + y * 7) -2 + 4y = (-7 + 7y) Solving -2 + 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. -2 + 4y + -7y = -7 + 7y + -7y Combine like terms: 4y + -7y = -3y -2 + -3y = -7 + 7y + -7y Combine like terms: 7y + -7y = 0 -2 + -3y = -7 + 0 -2 + -3y = -7 Add '2' to each side of the equation. -2 + 2 + -3y = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = -7 + 2 -3y = -7 + 2 Combine like terms: -7 + 2 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667
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