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Simplifying 5(y + -4) + -6 = -4(-3y + 5) + -3y Reorder the terms: 5(-4 + y) + -6 = -4(-3y + 5) + -3y (-4 * 5 + y * 5) + -6 = -4(-3y + 5) + -3y (-20 + 5y) + -6 = -4(-3y + 5) + -3y Reorder the terms: -20 + -6 + 5y = -4(-3y + 5) + -3y Combine like terms: -20 + -6 = -26 -26 + 5y = -4(-3y + 5) + -3y Reorder the terms: -26 + 5y = -4(5 + -3y) + -3y -26 + 5y = (5 * -4 + -3y * -4) + -3y -26 + 5y = (-20 + 12y) + -3y Combine like terms: 12y + -3y = 9y -26 + 5y = -20 + 9y Solving -26 + 5y = -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. -26 + 5y + -9y = -20 + 9y + -9y Combine like terms: 5y + -9y = -4y -26 + -4y = -20 + 9y + -9y Combine like terms: 9y + -9y = 0 -26 + -4y = -20 + 0 -26 + -4y = -20 Add '26' to each side of the equation. -26 + 26 + -4y = -20 + 26 Combine like terms: -26 + 26 = 0 0 + -4y = -20 + 26 -4y = -20 + 26 Combine like terms: -20 + 26 = 6 -4y = 6 Divide each side by '-4'. y = -1.5 Simplifying y = -1.5
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