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Simplifying -4(3y + -6) + 13(y + -3) = -6 + -2 Reorder the terms: -4(-6 + 3y) + 13(y + -3) = -6 + -2 (-6 * -4 + 3y * -4) + 13(y + -3) = -6 + -2 (24 + -12y) + 13(y + -3) = -6 + -2 Reorder the terms: 24 + -12y + 13(-3 + y) = -6 + -2 24 + -12y + (-3 * 13 + y * 13) = -6 + -2 24 + -12y + (-39 + 13y) = -6 + -2 Reorder the terms: 24 + -39 + -12y + 13y = -6 + -2 Combine like terms: 24 + -39 = -15 -15 + -12y + 13y = -6 + -2 Combine like terms: -12y + 13y = 1y -15 + 1y = -6 + -2 Combine like terms: -6 + -2 = -8 -15 + 1y = -8 Solving -15 + 1y = -8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 1y = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 1y = -8 + 15 1y = -8 + 15 Combine like terms: -8 + 15 = 7 1y = 7 Divide each side by '1'. y = 7 Simplifying y = 7
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