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Simplifying -4(3y + 3) + -12 = -6(y + 5) + 3y Reorder the terms: -4(3 + 3y) + -12 = -6(y + 5) + 3y (3 * -4 + 3y * -4) + -12 = -6(y + 5) + 3y (-12 + -12y) + -12 = -6(y + 5) + 3y Reorder the terms: -12 + -12 + -12y = -6(y + 5) + 3y Combine like terms: -12 + -12 = -24 -24 + -12y = -6(y + 5) + 3y Reorder the terms: -24 + -12y = -6(5 + y) + 3y -24 + -12y = (5 * -6 + y * -6) + 3y -24 + -12y = (-30 + -6y) + 3y Combine like terms: -6y + 3y = -3y -24 + -12y = -30 + -3y Solving -24 + -12y = -30 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. -24 + -12y + 3y = -30 + -3y + 3y Combine like terms: -12y + 3y = -9y -24 + -9y = -30 + -3y + 3y Combine like terms: -3y + 3y = 0 -24 + -9y = -30 + 0 -24 + -9y = -30 Add '24' to each side of the equation. -24 + 24 + -9y = -30 + 24 Combine like terms: -24 + 24 = 0 0 + -9y = -30 + 24 -9y = -30 + 24 Combine like terms: -30 + 24 = -6 -9y = -6 Divide each side by '-9'. y = 0.6666666667 Simplifying y = 0.6666666667
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