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Simplifying -3(7y + -1) + 9y = -6(y + 2) Reorder the terms: -3(-1 + 7y) + 9y = -6(y + 2) (-1 * -3 + 7y * -3) + 9y = -6(y + 2) (3 + -21y) + 9y = -6(y + 2) Combine like terms: -21y + 9y = -12y 3 + -12y = -6(y + 2) Reorder the terms: 3 + -12y = -6(2 + y) 3 + -12y = (2 * -6 + y * -6) 3 + -12y = (-12 + -6y) Solving 3 + -12y = -12 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 3 + -12y + 6y = -12 + -6y + 6y Combine like terms: -12y + 6y = -6y 3 + -6y = -12 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + -6y = -12 + 0 3 + -6y = -12 Add '-3' to each side of the equation. 3 + -3 + -6y = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -6y = -12 + -3 -6y = -12 + -3 Combine like terms: -12 + -3 = -15 -6y = -15 Divide each side by '-6'. y = 2.5 Simplifying y = 2.5
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