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Simplifying 3(4 + -6y) + 4 = 2(y + 4) (4 * 3 + -6y * 3) + 4 = 2(y + 4) (12 + -18y) + 4 = 2(y + 4) Reorder the terms: 12 + 4 + -18y = 2(y + 4) Combine like terms: 12 + 4 = 16 16 + -18y = 2(y + 4) Reorder the terms: 16 + -18y = 2(4 + y) 16 + -18y = (4 * 2 + y * 2) 16 + -18y = (8 + 2y) Solving 16 + -18y = 8 + 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. 16 + -18y + -2y = 8 + 2y + -2y Combine like terms: -18y + -2y = -20y 16 + -20y = 8 + 2y + -2y Combine like terms: 2y + -2y = 0 16 + -20y = 8 + 0 16 + -20y = 8 Add '-16' to each side of the equation. 16 + -16 + -20y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + -20y = 8 + -16 -20y = 8 + -16 Combine like terms: 8 + -16 = -8 -20y = -8 Divide each side by '-20'. y = 0.4 Simplifying y = 0.4
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