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Simplifying 4(y + 4) = -7(2y + -2) + 6y Reorder the terms: 4(4 + y) = -7(2y + -2) + 6y (4 * 4 + y * 4) = -7(2y + -2) + 6y (16 + 4y) = -7(2y + -2) + 6y Reorder the terms: 16 + 4y = -7(-2 + 2y) + 6y 16 + 4y = (-2 * -7 + 2y * -7) + 6y 16 + 4y = (14 + -14y) + 6y Combine like terms: -14y + 6y = -8y 16 + 4y = 14 + -8y Solving 16 + 4y = 14 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 16 + 4y + 8y = 14 + -8y + 8y Combine like terms: 4y + 8y = 12y 16 + 12y = 14 + -8y + 8y Combine like terms: -8y + 8y = 0 16 + 12y = 14 + 0 16 + 12y = 14 Add '-16' to each side of the equation. 16 + -16 + 12y = 14 + -16 Combine like terms: 16 + -16 = 0 0 + 12y = 14 + -16 12y = 14 + -16 Combine like terms: 14 + -16 = -2 12y = -2 Divide each side by '12'. y = -0.1666666667 Simplifying y = -0.1666666667
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