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Simplifying -6y + -24 = 3(2y + -1) + 15 Reorder the terms: -24 + -6y = 3(2y + -1) + 15 Reorder the terms: -24 + -6y = 3(-1 + 2y) + 15 -24 + -6y = (-1 * 3 + 2y * 3) + 15 -24 + -6y = (-3 + 6y) + 15 Reorder the terms: -24 + -6y = -3 + 15 + 6y Combine like terms: -3 + 15 = 12 -24 + -6y = 12 + 6y Solving -24 + -6y = 12 + 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. -24 + -6y + -6y = 12 + 6y + -6y Combine like terms: -6y + -6y = -12y -24 + -12y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 -24 + -12y = 12 + 0 -24 + -12y = 12 Add '24' to each side of the equation. -24 + 24 + -12y = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -12y = 12 + 24 -12y = 12 + 24 Combine like terms: 12 + 24 = 36 -12y = 36 Divide each side by '-12'. y = -3 Simplifying y = -3
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