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Simplifying 6y + 3(y + -7) = 6(y + 1) + -4 Reorder the terms: 6y + 3(-7 + y) = 6(y + 1) + -4 6y + (-7 * 3 + y * 3) = 6(y + 1) + -4 6y + (-21 + 3y) = 6(y + 1) + -4 Reorder the terms: -21 + 6y + 3y = 6(y + 1) + -4 Combine like terms: 6y + 3y = 9y -21 + 9y = 6(y + 1) + -4 Reorder the terms: -21 + 9y = 6(1 + y) + -4 -21 + 9y = (1 * 6 + y * 6) + -4 -21 + 9y = (6 + 6y) + -4 Reorder the terms: -21 + 9y = 6 + -4 + 6y Combine like terms: 6 + -4 = 2 -21 + 9y = 2 + 6y Solving -21 + 9y = 2 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -21 + 9y + -6y = 2 + 6y + -6y Combine like terms: 9y + -6y = 3y -21 + 3y = 2 + 6y + -6y Combine like terms: 6y + -6y = 0 -21 + 3y = 2 + 0 -21 + 3y = 2 Add '21' to each side of the equation. -21 + 21 + 3y = 2 + 21 Combine like terms: -21 + 21 = 0 0 + 3y = 2 + 21 3y = 2 + 21 Combine like terms: 2 + 21 = 23 3y = 23 Divide each side by '3'. y = 7.666666667 Simplifying y = 7.666666667
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