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Simplifying -2(9y + -6) + 8y = 2(y + 9) Reorder the terms: -2(-6 + 9y) + 8y = 2(y + 9) (-6 * -2 + 9y * -2) + 8y = 2(y + 9) (12 + -18y) + 8y = 2(y + 9) Combine like terms: -18y + 8y = -10y 12 + -10y = 2(y + 9) Reorder the terms: 12 + -10y = 2(9 + y) 12 + -10y = (9 * 2 + y * 2) 12 + -10y = (18 + 2y) Solving 12 + -10y = 18 + 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. 12 + -10y + -2y = 18 + 2y + -2y Combine like terms: -10y + -2y = -12y 12 + -12y = 18 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + -12y = 18 + 0 12 + -12y = 18 Add '-12' to each side of the equation. 12 + -12 + -12y = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -12y = 18 + -12 -12y = 18 + -12 Combine like terms: 18 + -12 = 6 -12y = 6 Divide each side by '-12'. y = -0.5 Simplifying y = -0.5
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