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Simplifying 7y + 3(y + -7) = 3(y + 1) + -2 Reorder the terms: 7y + 3(-7 + y) = 3(y + 1) + -2 7y + (-7 * 3 + y * 3) = 3(y + 1) + -2 7y + (-21 + 3y) = 3(y + 1) + -2 Reorder the terms: -21 + 7y + 3y = 3(y + 1) + -2 Combine like terms: 7y + 3y = 10y -21 + 10y = 3(y + 1) + -2 Reorder the terms: -21 + 10y = 3(1 + y) + -2 -21 + 10y = (1 * 3 + y * 3) + -2 -21 + 10y = (3 + 3y) + -2 Reorder the terms: -21 + 10y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -21 + 10y = 1 + 3y Solving -21 + 10y = 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. -21 + 10y + -3y = 1 + 3y + -3y Combine like terms: 10y + -3y = 7y -21 + 7y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -21 + 7y = 1 + 0 -21 + 7y = 1 Add '21' to each side of the equation. -21 + 21 + 7y = 1 + 21 Combine like terms: -21 + 21 = 0 0 + 7y = 1 + 21 7y = 1 + 21 Combine like terms: 1 + 21 = 22 7y = 22 Divide each side by '7'. y = 3.142857143 Simplifying y = 3.142857143
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