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Simplifying 4(y + 2) = -3(4y + -6) + 8y Reorder the terms: 4(2 + y) = -3(4y + -6) + 8y (2 * 4 + y * 4) = -3(4y + -6) + 8y (8 + 4y) = -3(4y + -6) + 8y Reorder the terms: 8 + 4y = -3(-6 + 4y) + 8y 8 + 4y = (-6 * -3 + 4y * -3) + 8y 8 + 4y = (18 + -12y) + 8y Combine like terms: -12y + 8y = -4y 8 + 4y = 18 + -4y Solving 8 + 4y = 18 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 8 + 4y + 4y = 18 + -4y + 4y Combine like terms: 4y + 4y = 8y 8 + 8y = 18 + -4y + 4y Combine like terms: -4y + 4y = 0 8 + 8y = 18 + 0 8 + 8y = 18 Add '-8' to each side of the equation. 8 + -8 + 8y = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = 18 + -8 8y = 18 + -8 Combine like terms: 18 + -8 = 10 8y = 10 Divide each side by '8'. y = 1.25 Simplifying y = 1.25
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