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Simplifying 4(y + 4) = -2(9y + -4) + 6y Reorder the terms: 4(4 + y) = -2(9y + -4) + 6y (4 * 4 + y * 4) = -2(9y + -4) + 6y (16 + 4y) = -2(9y + -4) + 6y Reorder the terms: 16 + 4y = -2(-4 + 9y) + 6y 16 + 4y = (-4 * -2 + 9y * -2) + 6y 16 + 4y = (8 + -18y) + 6y Combine like terms: -18y + 6y = -12y 16 + 4y = 8 + -12y Solving 16 + 4y = 8 + -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. 16 + 4y + 12y = 8 + -12y + 12y Combine like terms: 4y + 12y = 16y 16 + 16y = 8 + -12y + 12y Combine like terms: -12y + 12y = 0 16 + 16y = 8 + 0 16 + 16y = 8 Add '-16' to each side of the equation. 16 + -16 + 16y = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 16y = 8 + -16 16y = 8 + -16 Combine like terms: 8 + -16 = -8 16y = -8 Divide each side by '16'. y = -0.5 Simplifying y = -0.5
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