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Simplifying -7(y + 3) = 3(4y + -6) + 13 Reorder the terms: -7(3 + y) = 3(4y + -6) + 13 (3 * -7 + y * -7) = 3(4y + -6) + 13 (-21 + -7y) = 3(4y + -6) + 13 Reorder the terms: -21 + -7y = 3(-6 + 4y) + 13 -21 + -7y = (-6 * 3 + 4y * 3) + 13 -21 + -7y = (-18 + 12y) + 13 Reorder the terms: -21 + -7y = -18 + 13 + 12y Combine like terms: -18 + 13 = -5 -21 + -7y = -5 + 12y Solving -21 + -7y = -5 + 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. -21 + -7y + -12y = -5 + 12y + -12y Combine like terms: -7y + -12y = -19y -21 + -19y = -5 + 12y + -12y Combine like terms: 12y + -12y = 0 -21 + -19y = -5 + 0 -21 + -19y = -5 Add '21' to each side of the equation. -21 + 21 + -19y = -5 + 21 Combine like terms: -21 + 21 = 0 0 + -19y = -5 + 21 -19y = -5 + 21 Combine like terms: -5 + 21 = 16 -19y = 16 Divide each side by '-19'. y = -0.8421052632 Simplifying y = -0.8421052632
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