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Simplifying -39 + 6y + 3 = 3(4y + -2) + -6 Reorder the terms: -39 + 3 + 6y = 3(4y + -2) + -6 Combine like terms: -39 + 3 = -36 -36 + 6y = 3(4y + -2) + -6 Reorder the terms: -36 + 6y = 3(-2 + 4y) + -6 -36 + 6y = (-2 * 3 + 4y * 3) + -6 -36 + 6y = (-6 + 12y) + -6 Reorder the terms: -36 + 6y = -6 + -6 + 12y Combine like terms: -6 + -6 = -12 -36 + 6y = -12 + 12y Solving -36 + 6y = -12 + 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. -36 + 6y + -12y = -12 + 12y + -12y Combine like terms: 6y + -12y = -6y -36 + -6y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 -36 + -6y = -12 + 0 -36 + -6y = -12 Add '36' to each side of the equation. -36 + 36 + -6y = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -6y = -12 + 36 -6y = -12 + 36 Combine like terms: -12 + 36 = 24 -6y = 24 Divide each side by '-6'. y = -4 Simplifying y = -4
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