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Simplifying 12(y + -1) = 4(y + 1) Reorder the terms: 12(-1 + y) = 4(y + 1) (-1 * 12 + y * 12) = 4(y + 1) (-12 + 12y) = 4(y + 1) Reorder the terms: -12 + 12y = 4(1 + y) -12 + 12y = (1 * 4 + y * 4) -12 + 12y = (4 + 4y) Solving -12 + 12y = 4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 12y + -4y = 4 + 4y + -4y Combine like terms: 12y + -4y = 8y -12 + 8y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 8y = 4 + 0 -12 + 8y = 4 Add '12' to each side of the equation. -12 + 12 + 8y = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 8y = 4 + 12 8y = 4 + 12 Combine like terms: 4 + 12 = 16 8y = 16 Divide each side by '8'. y = 2 Simplifying y = 2
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