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Simplifying -6(-3y + 3) + -6y = 2(y + -9) + -5 Reorder the terms: -6(3 + -3y) + -6y = 2(y + -9) + -5 (3 * -6 + -3y * -6) + -6y = 2(y + -9) + -5 (-18 + 18y) + -6y = 2(y + -9) + -5 Combine like terms: 18y + -6y = 12y -18 + 12y = 2(y + -9) + -5 Reorder the terms: -18 + 12y = 2(-9 + y) + -5 -18 + 12y = (-9 * 2 + y * 2) + -5 -18 + 12y = (-18 + 2y) + -5 Reorder the terms: -18 + 12y = -18 + -5 + 2y Combine like terms: -18 + -5 = -23 -18 + 12y = -23 + 2y Solving -18 + 12y = -23 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -18 + 12y + -2y = -23 + 2y + -2y Combine like terms: 12y + -2y = 10y -18 + 10y = -23 + 2y + -2y Combine like terms: 2y + -2y = 0 -18 + 10y = -23 + 0 -18 + 10y = -23 Add '18' to each side of the equation. -18 + 18 + 10y = -23 + 18 Combine like terms: -18 + 18 = 0 0 + 10y = -23 + 18 10y = -23 + 18 Combine like terms: -23 + 18 = -5 10y = -5 Divide each side by '10'. y = -0.5 Simplifying y = -0.5
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