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Simplifying 5y + 2(y + -7) = 4(y + 2) + -2 Reorder the terms: 5y + 2(-7 + y) = 4(y + 2) + -2 5y + (-7 * 2 + y * 2) = 4(y + 2) + -2 5y + (-14 + 2y) = 4(y + 2) + -2 Reorder the terms: -14 + 5y + 2y = 4(y + 2) + -2 Combine like terms: 5y + 2y = 7y -14 + 7y = 4(y + 2) + -2 Reorder the terms: -14 + 7y = 4(2 + y) + -2 -14 + 7y = (2 * 4 + y * 4) + -2 -14 + 7y = (8 + 4y) + -2 Reorder the terms: -14 + 7y = 8 + -2 + 4y Combine like terms: 8 + -2 = 6 -14 + 7y = 6 + 4y Solving -14 + 7y = 6 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -14 + 7y + -4y = 6 + 4y + -4y Combine like terms: 7y + -4y = 3y -14 + 3y = 6 + 4y + -4y Combine like terms: 4y + -4y = 0 -14 + 3y = 6 + 0 -14 + 3y = 6 Add '14' to each side of the equation. -14 + 14 + 3y = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 3y = 6 + 14 3y = 6 + 14 Combine like terms: 6 + 14 = 20 3y = 20 Divide each side by '3'. y = 6.666666667 Simplifying y = 6.666666667
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