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Simplifying 6 + -8(y + 3) + 6y + 5y + -1(2y + -5) + 12 = 0 Reorder the terms: 6 + -8(3 + y) + 6y + 5y + -1(2y + -5) + 12 = 0 6 + (3 * -8 + y * -8) + 6y + 5y + -1(2y + -5) + 12 = 0 6 + (-24 + -8y) + 6y + 5y + -1(2y + -5) + 12 = 0 Reorder the terms: 6 + -24 + -8y + 6y + 5y + -1(-5 + 2y) + 12 = 0 6 + -24 + -8y + 6y + 5y + (-5 * -1 + 2y * -1) + 12 = 0 6 + -24 + -8y + 6y + 5y + (5 + -2y) + 12 = 0 Reorder the terms: 6 + -24 + 5 + 12 + -8y + 6y + 5y + -2y = 0 Combine like terms: 6 + -24 = -18 -18 + 5 + 12 + -8y + 6y + 5y + -2y = 0 Combine like terms: -18 + 5 = -13 -13 + 12 + -8y + 6y + 5y + -2y = 0 Combine like terms: -13 + 12 = -1 -1 + -8y + 6y + 5y + -2y = 0 Combine like terms: -8y + 6y = -2y -1 + -2y + 5y + -2y = 0 Combine like terms: -2y + 5y = 3y -1 + 3y + -2y = 0 Combine like terms: 3y + -2y = 1y -1 + 1y = 0 Solving -1 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 1y = 0 + 1 1y = 0 + 1 Combine like terms: 0 + 1 = 1 1y = 1 Divide each side by '1'. y = 1 Simplifying y = 1
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