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Simplifying 6(y + 8) = 3(3y + -7) Reorder the terms: 6(8 + y) = 3(3y + -7) (8 * 6 + y * 6) = 3(3y + -7) (48 + 6y) = 3(3y + -7) Reorder the terms: 48 + 6y = 3(-7 + 3y) 48 + 6y = (-7 * 3 + 3y * 3) 48 + 6y = (-21 + 9y) Solving 48 + 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. 48 + 6y + -9y = -21 + 9y + -9y Combine like terms: 6y + -9y = -3y 48 + -3y = -21 + 9y + -9y Combine like terms: 9y + -9y = 0 48 + -3y = -21 + 0 48 + -3y = -21 Add '-48' to each side of the equation. 48 + -48 + -3y = -21 + -48 Combine like terms: 48 + -48 = 0 0 + -3y = -21 + -48 -3y = -21 + -48 Combine like terms: -21 + -48 = -69 -3y = -69 Divide each side by '-3'. y = 23 Simplifying y = 23
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