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Simplifying 6(y + 1) + -2 = 6y + 3(y + -7) Reorder the terms: 6(1 + y) + -2 = 6y + 3(y + -7) (1 * 6 + y * 6) + -2 = 6y + 3(y + -7) (6 + 6y) + -2 = 6y + 3(y + -7) Reorder the terms: 6 + -2 + 6y = 6y + 3(y + -7) Combine like terms: 6 + -2 = 4 4 + 6y = 6y + 3(y + -7) Reorder the terms: 4 + 6y = 6y + 3(-7 + y) 4 + 6y = 6y + (-7 * 3 + y * 3) 4 + 6y = 6y + (-21 + 3y) Reorder the terms: 4 + 6y = -21 + 6y + 3y Combine like terms: 6y + 3y = 9y 4 + 6y = -21 + 9y Solving 4 + 6y = -21 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 4 + 6y + -9y = -21 + 9y + -9y Combine like terms: 6y + -9y = -3y 4 + -3y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 4 + -3y = -21 + 0 4 + -3y = -21 Add '-4' to each side of the equation. 4 + -4 + -3y = -21 + -4 Combine like terms: 4 + -4 = 0 0 + -3y = -21 + -4 -3y = -21 + -4 Combine like terms: -21 + -4 = -25 -3y = -25 Divide each side by '-3'. y = 8.333333333 Simplifying y = 8.333333333
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