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Simplifying 8 + 3(2y + -8) + -3(4y + 7) + -7 = 0 Reorder the terms: 8 + 3(-8 + 2y) + -3(4y + 7) + -7 = 0 8 + (-8 * 3 + 2y * 3) + -3(4y + 7) + -7 = 0 8 + (-24 + 6y) + -3(4y + 7) + -7 = 0 Reorder the terms: 8 + -24 + 6y + -3(7 + 4y) + -7 = 0 8 + -24 + 6y + (7 * -3 + 4y * -3) + -7 = 0 8 + -24 + 6y + (-21 + -12y) + -7 = 0 Reorder the terms: 8 + -24 + -21 + -7 + 6y + -12y = 0 Combine like terms: 8 + -24 = -16 -16 + -21 + -7 + 6y + -12y = 0 Combine like terms: -16 + -21 = -37 -37 + -7 + 6y + -12y = 0 Combine like terms: -37 + -7 = -44 -44 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -44 + -6y = 0 Solving -44 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + -6y = 0 + 44 Combine like terms: -44 + 44 = 0 0 + -6y = 0 + 44 -6y = 0 + 44 Combine like terms: 0 + 44 = 44 -6y = 44 Divide each side by '-6'. y = -7.333333333 Simplifying y = -7.333333333
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