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Simplifying 4y + 8 = -8(y + -4) Reorder the terms: 8 + 4y = -8(y + -4) Reorder the terms: 8 + 4y = -8(-4 + y) 8 + 4y = (-4 * -8 + y * -8) 8 + 4y = (32 + -8y) Solving 8 + 4y = 32 + -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. 8 + 4y + 8y = 32 + -8y + 8y Combine like terms: 4y + 8y = 12y 8 + 12y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 8 + 12y = 32 + 0 8 + 12y = 32 Add '-8' to each side of the equation. 8 + -8 + 12y = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 12y = 32 + -8 12y = 32 + -8 Combine like terms: 32 + -8 = 24 12y = 24 Divide each side by '12'. y = 2 Simplifying y = 2
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