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Simplifying 7 + 3(2y + -8) + -3(4y + 4) + -6 = 0 Reorder the terms: 7 + 3(-8 + 2y) + -3(4y + 4) + -6 = 0 7 + (-8 * 3 + 2y * 3) + -3(4y + 4) + -6 = 0 7 + (-24 + 6y) + -3(4y + 4) + -6 = 0 Reorder the terms: 7 + -24 + 6y + -3(4 + 4y) + -6 = 0 7 + -24 + 6y + (4 * -3 + 4y * -3) + -6 = 0 7 + -24 + 6y + (-12 + -12y) + -6 = 0 Reorder the terms: 7 + -24 + -12 + -6 + 6y + -12y = 0 Combine like terms: 7 + -24 = -17 -17 + -12 + -6 + 6y + -12y = 0 Combine like terms: -17 + -12 = -29 -29 + -6 + 6y + -12y = 0 Combine like terms: -29 + -6 = -35 -35 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -35 + -6y = 0 Solving -35 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + -6y = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -6y = 0 + 35 -6y = 0 + 35 Combine like terms: 0 + 35 = 35 -6y = 35 Divide each side by '-6'. y = -5.833333333 Simplifying y = -5.833333333
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