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Simplifying -3y + -3(4y + -6) = -7 + 2(8 + -1y) Reorder the terms: -3y + -3(-6 + 4y) = -7 + 2(8 + -1y) -3y + (-6 * -3 + 4y * -3) = -7 + 2(8 + -1y) -3y + (18 + -12y) = -7 + 2(8 + -1y) Reorder the terms: 18 + -3y + -12y = -7 + 2(8 + -1y) Combine like terms: -3y + -12y = -15y 18 + -15y = -7 + 2(8 + -1y) 18 + -15y = -7 + (8 * 2 + -1y * 2) 18 + -15y = -7 + (16 + -2y) Combine like terms: -7 + 16 = 9 18 + -15y = 9 + -2y Solving 18 + -15y = 9 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 18 + -15y + 2y = 9 + -2y + 2y Combine like terms: -15y + 2y = -13y 18 + -13y = 9 + -2y + 2y Combine like terms: -2y + 2y = 0 18 + -13y = 9 + 0 18 + -13y = 9 Add '-18' to each side of the equation. 18 + -18 + -13y = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -13y = 9 + -18 -13y = 9 + -18 Combine like terms: 9 + -18 = -9 -13y = -9 Divide each side by '-13'. y = 0.6923076923 Simplifying y = 0.6923076923
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