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Simplifying 4(y + 3) = -2(4y + -7) + 8y Reorder the terms: 4(3 + y) = -2(4y + -7) + 8y (3 * 4 + y * 4) = -2(4y + -7) + 8y (12 + 4y) = -2(4y + -7) + 8y Reorder the terms: 12 + 4y = -2(-7 + 4y) + 8y 12 + 4y = (-7 * -2 + 4y * -2) + 8y 12 + 4y = (14 + -8y) + 8y Combine like terms: -8y + 8y = 0 12 + 4y = 14 + 0 12 + 4y = 14 Solving 12 + 4y = 14 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4y = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 4y = 14 + -12 4y = 14 + -12 Combine like terms: 14 + -12 = 2 4y = 2 Divide each side by '4'. y = 0.5 Simplifying y = 0.5
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