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Simplifying 12(y + -1) = -4(4 + y) Reorder the terms: 12(-1 + y) = -4(4 + y) (-1 * 12 + y * 12) = -4(4 + y) (-12 + 12y) = -4(4 + y) -12 + 12y = (4 * -4 + y * -4) -12 + 12y = (-16 + -4y) Solving -12 + 12y = -16 + -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 = -16 + -4y + 4y Combine like terms: 12y + 4y = 16y -12 + 16y = -16 + -4y + 4y Combine like terms: -4y + 4y = 0 -12 + 16y = -16 + 0 -12 + 16y = -16 Add '12' to each side of the equation. -12 + 12 + 16y = -16 + 12 Combine like terms: -12 + 12 = 0 0 + 16y = -16 + 12 16y = -16 + 12 Combine like terms: -16 + 12 = -4 16y = -4 Divide each side by '16'. y = -0.25 Simplifying y = -0.25
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