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Simplifying -6(-2y + 6) + -3 = 6 + 1(-6y + 9) Reorder the terms: -6(6 + -2y) + -3 = 6 + 1(-6y + 9) (6 * -6 + -2y * -6) + -3 = 6 + 1(-6y + 9) (-36 + 12y) + -3 = 6 + 1(-6y + 9) Reorder the terms: -36 + -3 + 12y = 6 + 1(-6y + 9) Combine like terms: -36 + -3 = -39 -39 + 12y = 6 + 1(-6y + 9) Reorder the terms: -39 + 12y = 6 + 1(9 + -6y) -39 + 12y = 6 + (9 * 1 + -6y * 1) -39 + 12y = 6 + (9 + -6y) Combine like terms: 6 + 9 = 15 -39 + 12y = 15 + -6y Solving -39 + 12y = 15 + -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. -39 + 12y + 6y = 15 + -6y + 6y Combine like terms: 12y + 6y = 18y -39 + 18y = 15 + -6y + 6y Combine like terms: -6y + 6y = 0 -39 + 18y = 15 + 0 -39 + 18y = 15 Add '39' to each side of the equation. -39 + 39 + 18y = 15 + 39 Combine like terms: -39 + 39 = 0 0 + 18y = 15 + 39 18y = 15 + 39 Combine like terms: 15 + 39 = 54 18y = 54 Divide each side by '18'. y = 3 Simplifying y = 3
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