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Simplifying -7(-3y + 2) = -4(3y + -2) Reorder the terms: -7(2 + -3y) = -4(3y + -2) (2 * -7 + -3y * -7) = -4(3y + -2) (-14 + 21y) = -4(3y + -2) Reorder the terms: -14 + 21y = -4(-2 + 3y) -14 + 21y = (-2 * -4 + 3y * -4) -14 + 21y = (8 + -12y) Solving -14 + 21y = 8 + -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. -14 + 21y + 12y = 8 + -12y + 12y Combine like terms: 21y + 12y = 33y -14 + 33y = 8 + -12y + 12y Combine like terms: -12y + 12y = 0 -14 + 33y = 8 + 0 -14 + 33y = 8 Add '14' to each side of the equation. -14 + 14 + 33y = 8 + 14 Combine like terms: -14 + 14 = 0 0 + 33y = 8 + 14 33y = 8 + 14 Combine like terms: 8 + 14 = 22 33y = 22 Divide each side by '33'. y = 0.6666666667 Simplifying y = 0.6666666667
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