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Simplifying -2(y + 3) = y + -9 + 3(4y + 7) Reorder the terms: -2(3 + y) = y + -9 + 3(4y + 7) (3 * -2 + y * -2) = y + -9 + 3(4y + 7) (-6 + -2y) = y + -9 + 3(4y + 7) Reorder the terms: -6 + -2y = y + -9 + 3(7 + 4y) -6 + -2y = y + -9 + (7 * 3 + 4y * 3) -6 + -2y = y + -9 + (21 + 12y) Reorder the terms: -6 + -2y = -9 + 21 + y + 12y Combine like terms: -9 + 21 = 12 -6 + -2y = 12 + y + 12y Combine like terms: y + 12y = 13y -6 + -2y = 12 + 13y Solving -6 + -2y = 12 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -6 + -2y + -13y = 12 + 13y + -13y Combine like terms: -2y + -13y = -15y -6 + -15y = 12 + 13y + -13y Combine like terms: 13y + -13y = 0 -6 + -15y = 12 + 0 -6 + -15y = 12 Add '6' to each side of the equation. -6 + 6 + -15y = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -15y = 12 + 6 -15y = 12 + 6 Combine like terms: 12 + 6 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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