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Simplifying 7 + 3(2y + -4) + -3(4y + 3) + -8 = 0 Reorder the terms: 7 + 3(-4 + 2y) + -3(4y + 3) + -8 = 0 7 + (-4 * 3 + 2y * 3) + -3(4y + 3) + -8 = 0 7 + (-12 + 6y) + -3(4y + 3) + -8 = 0 Reorder the terms: 7 + -12 + 6y + -3(3 + 4y) + -8 = 0 7 + -12 + 6y + (3 * -3 + 4y * -3) + -8 = 0 7 + -12 + 6y + (-9 + -12y) + -8 = 0 Reorder the terms: 7 + -12 + -9 + -8 + 6y + -12y = 0 Combine like terms: 7 + -12 = -5 -5 + -9 + -8 + 6y + -12y = 0 Combine like terms: -5 + -9 = -14 -14 + -8 + 6y + -12y = 0 Combine like terms: -14 + -8 = -22 -22 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -22 + -6y = 0 Solving -22 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -6y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6y = 0 + 22 -6y = 0 + 22 Combine like terms: 0 + 22 = 22 -6y = 22 Divide each side by '-6'. y = -3.666666667 Simplifying y = -3.666666667
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