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Simplifying 8(y + 4) = -8y + -48 Reorder the terms: 8(4 + y) = -8y + -48 (4 * 8 + y * 8) = -8y + -48 (32 + 8y) = -8y + -48 Reorder the terms: 32 + 8y = -48 + -8y Solving 32 + 8y = -48 + -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. 32 + 8y + 8y = -48 + -8y + 8y Combine like terms: 8y + 8y = 16y 32 + 16y = -48 + -8y + 8y Combine like terms: -8y + 8y = 0 32 + 16y = -48 + 0 32 + 16y = -48 Add '-32' to each side of the equation. 32 + -32 + 16y = -48 + -32 Combine like terms: 32 + -32 = 0 0 + 16y = -48 + -32 16y = -48 + -32 Combine like terms: -48 + -32 = -80 16y = -80 Divide each side by '16'. y = -5 Simplifying y = -5
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