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Simplifying 4(y + -4) + -4 = -5(-5y + 2) + -6y Reorder the terms: 4(-4 + y) + -4 = -5(-5y + 2) + -6y (-4 * 4 + y * 4) + -4 = -5(-5y + 2) + -6y (-16 + 4y) + -4 = -5(-5y + 2) + -6y Reorder the terms: -16 + -4 + 4y = -5(-5y + 2) + -6y Combine like terms: -16 + -4 = -20 -20 + 4y = -5(-5y + 2) + -6y Reorder the terms: -20 + 4y = -5(2 + -5y) + -6y -20 + 4y = (2 * -5 + -5y * -5) + -6y -20 + 4y = (-10 + 25y) + -6y Combine like terms: 25y + -6y = 19y -20 + 4y = -10 + 19y Solving -20 + 4y = -10 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -20 + 4y + -19y = -10 + 19y + -19y Combine like terms: 4y + -19y = -15y -20 + -15y = -10 + 19y + -19y Combine like terms: 19y + -19y = 0 -20 + -15y = -10 + 0 -20 + -15y = -10 Add '20' to each side of the equation. -20 + 20 + -15y = -10 + 20 Combine like terms: -20 + 20 = 0 0 + -15y = -10 + 20 -15y = -10 + 20 Combine like terms: -10 + 20 = 10 -15y = 10 Divide each side by '-15'. y = -0.6666666667 Simplifying y = -0.6666666667
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