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Simplifying 5y + 4(y + -7) = 3(y + 2) + -3 Reorder the terms: 5y + 4(-7 + y) = 3(y + 2) + -3 5y + (-7 * 4 + y * 4) = 3(y + 2) + -3 5y + (-28 + 4y) = 3(y + 2) + -3 Reorder the terms: -28 + 5y + 4y = 3(y + 2) + -3 Combine like terms: 5y + 4y = 9y -28 + 9y = 3(y + 2) + -3 Reorder the terms: -28 + 9y = 3(2 + y) + -3 -28 + 9y = (2 * 3 + y * 3) + -3 -28 + 9y = (6 + 3y) + -3 Reorder the terms: -28 + 9y = 6 + -3 + 3y Combine like terms: 6 + -3 = 3 -28 + 9y = 3 + 3y Solving -28 + 9y = 3 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -28 + 9y + -3y = 3 + 3y + -3y Combine like terms: 9y + -3y = 6y -28 + 6y = 3 + 3y + -3y Combine like terms: 3y + -3y = 0 -28 + 6y = 3 + 0 -28 + 6y = 3 Add '28' to each side of the equation. -28 + 28 + 6y = 3 + 28 Combine like terms: -28 + 28 = 0 0 + 6y = 3 + 28 6y = 3 + 28 Combine like terms: 3 + 28 = 31 6y = 31 Divide each side by '6'. y = 5.166666667 Simplifying y = 5.166666667
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