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Simplifying 48 = -8(2y + 4) Reorder the terms: 48 = -8(4 + 2y) 48 = (4 * -8 + 2y * -8) 48 = (-32 + -16y) Solving 48 = -32 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. 48 + 16y = -32 + -16y + 16y Combine like terms: -16y + 16y = 0 48 + 16y = -32 + 0 48 + 16y = -32 Add '-48' to each side of the equation. 48 + -48 + 16y = -32 + -48 Combine like terms: 48 + -48 = 0 0 + 16y = -32 + -48 16y = -32 + -48 Combine like terms: -32 + -48 = -80 16y = -80 Divide each side by '16'. y = -5 Simplifying y = -5
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