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Simplifying 6(y + 8) = 12y + 24 Reorder the terms: 6(8 + y) = 12y + 24 (8 * 6 + y * 6) = 12y + 24 (48 + 6y) = 12y + 24 Reorder the terms: 48 + 6y = 24 + 12y Solving 48 + 6y = 24 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 48 + 6y + -12y = 24 + 12y + -12y Combine like terms: 6y + -12y = -6y 48 + -6y = 24 + 12y + -12y Combine like terms: 12y + -12y = 0 48 + -6y = 24 + 0 48 + -6y = 24 Add '-48' to each side of the equation. 48 + -48 + -6y = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -6y = 24 + -48 -6y = 24 + -48 Combine like terms: 24 + -48 = -24 -6y = -24 Divide each side by '-6'. y = 4 Simplifying y = 4
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