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Simplifying 3 + 3(2y + -2) + -3(4y + 7) + -8 = 0 Reorder the terms: 3 + 3(-2 + 2y) + -3(4y + 7) + -8 = 0 3 + (-2 * 3 + 2y * 3) + -3(4y + 7) + -8 = 0 3 + (-6 + 6y) + -3(4y + 7) + -8 = 0 Reorder the terms: 3 + -6 + 6y + -3(7 + 4y) + -8 = 0 3 + -6 + 6y + (7 * -3 + 4y * -3) + -8 = 0 3 + -6 + 6y + (-21 + -12y) + -8 = 0 Reorder the terms: 3 + -6 + -21 + -8 + 6y + -12y = 0 Combine like terms: 3 + -6 = -3 -3 + -21 + -8 + 6y + -12y = 0 Combine like terms: -3 + -21 = -24 -24 + -8 + 6y + -12y = 0 Combine like terms: -24 + -8 = -32 -32 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -32 + -6y = 0 Solving -32 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -6y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -6y = 0 + 32 -6y = 0 + 32 Combine like terms: 0 + 32 = 32 -6y = 32 Divide each side by '-6'. y = -5.333333333 Simplifying y = -5.333333333
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