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Simplifying 5y + 4(y + -7) = 3(y + 1) + -2 Reorder the terms: 5y + 4(-7 + y) = 3(y + 1) + -2 5y + (-7 * 4 + y * 4) = 3(y + 1) + -2 5y + (-28 + 4y) = 3(y + 1) + -2 Reorder the terms: -28 + 5y + 4y = 3(y + 1) + -2 Combine like terms: 5y + 4y = 9y -28 + 9y = 3(y + 1) + -2 Reorder the terms: -28 + 9y = 3(1 + y) + -2 -28 + 9y = (1 * 3 + y * 3) + -2 -28 + 9y = (3 + 3y) + -2 Reorder the terms: -28 + 9y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -28 + 9y = 1 + 3y Solving -28 + 9y = 1 + 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 = 1 + 3y + -3y Combine like terms: 9y + -3y = 6y -28 + 6y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -28 + 6y = 1 + 0 -28 + 6y = 1 Add '28' to each side of the equation. -28 + 28 + 6y = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 6y = 1 + 28 6y = 1 + 28 Combine like terms: 1 + 28 = 29 6y = 29 Divide each side by '6'. y = 4.833333333 Simplifying y = 4.833333333
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