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Simplifying 12y + 5 + -18y = 6(2y + -3) Reorder the terms: 5 + 12y + -18y = 6(2y + -3) Combine like terms: 12y + -18y = -6y 5 + -6y = 6(2y + -3) Reorder the terms: 5 + -6y = 6(-3 + 2y) 5 + -6y = (-3 * 6 + 2y * 6) 5 + -6y = (-18 + 12y) Solving 5 + -6y = -18 + 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. 5 + -6y + -12y = -18 + 12y + -12y Combine like terms: -6y + -12y = -18y 5 + -18y = -18 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + -18y = -18 + 0 5 + -18y = -18 Add '-5' to each side of the equation. 5 + -5 + -18y = -18 + -5 Combine like terms: 5 + -5 = 0 0 + -18y = -18 + -5 -18y = -18 + -5 Combine like terms: -18 + -5 = -23 -18y = -23 Divide each side by '-18'. y = 1.277777778 Simplifying y = 1.277777778
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