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Simplifying 16(y + 3) = 4(2y + 4) Reorder the terms: 16(3 + y) = 4(2y + 4) (3 * 16 + y * 16) = 4(2y + 4) (48 + 16y) = 4(2y + 4) Reorder the terms: 48 + 16y = 4(4 + 2y) 48 + 16y = (4 * 4 + 2y * 4) 48 + 16y = (16 + 8y) Solving 48 + 16y = 16 + 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. 48 + 16y + -8y = 16 + 8y + -8y Combine like terms: 16y + -8y = 8y 48 + 8y = 16 + 8y + -8y Combine like terms: 8y + -8y = 0 48 + 8y = 16 + 0 48 + 8y = 16 Add '-48' to each side of the equation. 48 + -48 + 8y = 16 + -48 Combine like terms: 48 + -48 = 0 0 + 8y = 16 + -48 8y = 16 + -48 Combine like terms: 16 + -48 = -32 8y = -32 Divide each side by '8'. y = -4 Simplifying y = -4
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