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Simplifying 16(y + 2) = 12y + 16 Reorder the terms: 16(2 + y) = 12y + 16 (2 * 16 + y * 16) = 12y + 16 (32 + 16y) = 12y + 16 Reorder the terms: 32 + 16y = 16 + 12y Solving 32 + 16y = 16 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 32 + 16y + -12y = 16 + 12y + -12y Combine like terms: 16y + -12y = 4y 32 + 4y = 16 + 12y + -12y Combine like terms: 12y + -12y = 0 32 + 4y = 16 + 0 32 + 4y = 16 Add '-32' to each side of the equation. 32 + -32 + 4y = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 4y = 16 + -32 4y = 16 + -32 Combine like terms: 16 + -32 = -16 4y = -16 Divide each side by '4'. y = -4 Simplifying y = -4
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