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Simplifying 8y + 4(4 + y) = 3(y + -8) + 10 8y + (4 * 4 + y * 4) = 3(y + -8) + 10 8y + (16 + 4y) = 3(y + -8) + 10 Reorder the terms: 16 + 8y + 4y = 3(y + -8) + 10 Combine like terms: 8y + 4y = 12y 16 + 12y = 3(y + -8) + 10 Reorder the terms: 16 + 12y = 3(-8 + y) + 10 16 + 12y = (-8 * 3 + y * 3) + 10 16 + 12y = (-24 + 3y) + 10 Reorder the terms: 16 + 12y = -24 + 10 + 3y Combine like terms: -24 + 10 = -14 16 + 12y = -14 + 3y Solving 16 + 12y = -14 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 16 + 12y + -3y = -14 + 3y + -3y Combine like terms: 12y + -3y = 9y 16 + 9y = -14 + 3y + -3y Combine like terms: 3y + -3y = 0 16 + 9y = -14 + 0 16 + 9y = -14 Add '-16' to each side of the equation. 16 + -16 + 9y = -14 + -16 Combine like terms: 16 + -16 = 0 0 + 9y = -14 + -16 9y = -14 + -16 Combine like terms: -14 + -16 = -30 9y = -30 Divide each side by '9'. y = -3.333333333 Simplifying y = -3.333333333
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