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Simplifying 3Y + -4 = 3(y + 6) + -2(y + 3) Reorder the terms: -4 + 3Y = 3(y + 6) + -2(y + 3) Reorder the terms: -4 + 3Y = 3(6 + y) + -2(y + 3) -4 + 3Y = (6 * 3 + y * 3) + -2(y + 3) -4 + 3Y = (18 + 3y) + -2(y + 3) Reorder the terms: -4 + 3Y = 18 + 3y + -2(3 + y) -4 + 3Y = 18 + 3y + (3 * -2 + y * -2) -4 + 3Y = 18 + 3y + (-6 + -2y) Reorder the terms: -4 + 3Y = 18 + -6 + 3y + -2y Combine like terms: 18 + -6 = 12 -4 + 3Y = 12 + 3y + -2y Combine like terms: 3y + -2y = 1y -4 + 3Y = 12 + 1y Solving -4 + 3Y = 12 + 1y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3Y = 12 + 4 + 1y Combine like terms: -4 + 4 = 0 0 + 3Y = 12 + 4 + 1y 3Y = 12 + 4 + 1y Combine like terms: 12 + 4 = 16 3Y = 16 + 1y Divide each side by '3'. Y = 5.333333333 + 0.3333333333y Simplifying Y = 5.333333333 + 0.3333333333y
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