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Simplifying 8y + 4(7 + y) = 3(y + -2) + 10 8y + (7 * 4 + y * 4) = 3(y + -2) + 10 8y + (28 + 4y) = 3(y + -2) + 10 Reorder the terms: 28 + 8y + 4y = 3(y + -2) + 10 Combine like terms: 8y + 4y = 12y 28 + 12y = 3(y + -2) + 10 Reorder the terms: 28 + 12y = 3(-2 + y) + 10 28 + 12y = (-2 * 3 + y * 3) + 10 28 + 12y = (-6 + 3y) + 10 Reorder the terms: 28 + 12y = -6 + 10 + 3y Combine like terms: -6 + 10 = 4 28 + 12y = 4 + 3y Solving 28 + 12y = 4 + 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. 28 + 12y + -3y = 4 + 3y + -3y Combine like terms: 12y + -3y = 9y 28 + 9y = 4 + 3y + -3y Combine like terms: 3y + -3y = 0 28 + 9y = 4 + 0 28 + 9y = 4 Add '-28' to each side of the equation. 28 + -28 + 9y = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 9y = 4 + -28 9y = 4 + -28 Combine like terms: 4 + -28 = -24 9y = -24 Divide each side by '9'. y = -2.666666667 Simplifying y = -2.666666667
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