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Simplifying 4(y + -5) + -8 = -5(-5y + 2) + -6y Reorder the terms: 4(-5 + y) + -8 = -5(-5y + 2) + -6y (-5 * 4 + y * 4) + -8 = -5(-5y + 2) + -6y (-20 + 4y) + -8 = -5(-5y + 2) + -6y Reorder the terms: -20 + -8 + 4y = -5(-5y + 2) + -6y Combine like terms: -20 + -8 = -28 -28 + 4y = -5(-5y + 2) + -6y Reorder the terms: -28 + 4y = -5(2 + -5y) + -6y -28 + 4y = (2 * -5 + -5y * -5) + -6y -28 + 4y = (-10 + 25y) + -6y Combine like terms: 25y + -6y = 19y -28 + 4y = -10 + 19y Solving -28 + 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. -28 + 4y + -19y = -10 + 19y + -19y Combine like terms: 4y + -19y = -15y -28 + -15y = -10 + 19y + -19y Combine like terms: 19y + -19y = 0 -28 + -15y = -10 + 0 -28 + -15y = -10 Add '28' to each side of the equation. -28 + 28 + -15y = -10 + 28 Combine like terms: -28 + 28 = 0 0 + -15y = -10 + 28 -15y = -10 + 28 Combine like terms: -10 + 28 = 18 -15y = 18 Divide each side by '-15'. y = -1.2 Simplifying y = -1.2
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