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Simplifying 3(y + -6) + -4 = -4(-3y + 5) + -3y Reorder the terms: 3(-6 + y) + -4 = -4(-3y + 5) + -3y (-6 * 3 + y * 3) + -4 = -4(-3y + 5) + -3y (-18 + 3y) + -4 = -4(-3y + 5) + -3y Reorder the terms: -18 + -4 + 3y = -4(-3y + 5) + -3y Combine like terms: -18 + -4 = -22 -22 + 3y = -4(-3y + 5) + -3y Reorder the terms: -22 + 3y = -4(5 + -3y) + -3y -22 + 3y = (5 * -4 + -3y * -4) + -3y -22 + 3y = (-20 + 12y) + -3y Combine like terms: 12y + -3y = 9y -22 + 3y = -20 + 9y Solving -22 + 3y = -20 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -22 + 3y + -9y = -20 + 9y + -9y Combine like terms: 3y + -9y = -6y -22 + -6y = -20 + 9y + -9y Combine like terms: 9y + -9y = 0 -22 + -6y = -20 + 0 -22 + -6y = -20 Add '22' to each side of the equation. -22 + 22 + -6y = -20 + 22 Combine like terms: -22 + 22 = 0 0 + -6y = -20 + 22 -6y = -20 + 22 Combine like terms: -20 + 22 = 2 -6y = 2 Divide each side by '-6'. y = -0.3333333333 Simplifying y = -0.3333333333
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