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Simplifying 4(y + -3) = 2(12 + -6y) Reorder the terms: 4(-3 + y) = 2(12 + -6y) (-3 * 4 + y * 4) = 2(12 + -6y) (-12 + 4y) = 2(12 + -6y) -12 + 4y = (12 * 2 + -6y * 2) -12 + 4y = (24 + -12y) Solving -12 + 4y = 24 + -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. -12 + 4y + 12y = 24 + -12y + 12y Combine like terms: 4y + 12y = 16y -12 + 16y = 24 + -12y + 12y Combine like terms: -12y + 12y = 0 -12 + 16y = 24 + 0 -12 + 16y = 24 Add '12' to each side of the equation. -12 + 12 + 16y = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 16y = 24 + 12 16y = 24 + 12 Combine like terms: 24 + 12 = 36 16y = 36 Divide each side by '16'. y = 2.25 Simplifying y = 2.25
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