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Simplifying 3y + -1(9y + 8) = 7 + -1(12y + -4) Reorder the terms: 3y + -1(8 + 9y) = 7 + -1(12y + -4) 3y + (8 * -1 + 9y * -1) = 7 + -1(12y + -4) 3y + (-8 + -9y) = 7 + -1(12y + -4) Reorder the terms: -8 + 3y + -9y = 7 + -1(12y + -4) Combine like terms: 3y + -9y = -6y -8 + -6y = 7 + -1(12y + -4) Reorder the terms: -8 + -6y = 7 + -1(-4 + 12y) -8 + -6y = 7 + (-4 * -1 + 12y * -1) -8 + -6y = 7 + (4 + -12y) Combine like terms: 7 + 4 = 11 -8 + -6y = 11 + -12y Solving -8 + -6y = 11 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -8 + -6y + 12y = 11 + -12y + 12y Combine like terms: -6y + 12y = 6y -8 + 6y = 11 + -12y + 12y Combine like terms: -12y + 12y = 0 -8 + 6y = 11 + 0 -8 + 6y = 11 Add '8' to each side of the equation. -8 + 8 + 6y = 11 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = 11 + 8 6y = 11 + 8 Combine like terms: 11 + 8 = 19 6y = 19 Divide each side by '6'. y = 3.166666667 Simplifying y = 3.166666667
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