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Simplifying 5(y + -3) + -6 = -5(-4y + 5) + -5y Reorder the terms: 5(-3 + y) + -6 = -5(-4y + 5) + -5y (-3 * 5 + y * 5) + -6 = -5(-4y + 5) + -5y (-15 + 5y) + -6 = -5(-4y + 5) + -5y Reorder the terms: -15 + -6 + 5y = -5(-4y + 5) + -5y Combine like terms: -15 + -6 = -21 -21 + 5y = -5(-4y + 5) + -5y Reorder the terms: -21 + 5y = -5(5 + -4y) + -5y -21 + 5y = (5 * -5 + -4y * -5) + -5y -21 + 5y = (-25 + 20y) + -5y Combine like terms: 20y + -5y = 15y -21 + 5y = -25 + 15y Solving -21 + 5y = -25 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -21 + 5y + -15y = -25 + 15y + -15y Combine like terms: 5y + -15y = -10y -21 + -10y = -25 + 15y + -15y Combine like terms: 15y + -15y = 0 -21 + -10y = -25 + 0 -21 + -10y = -25 Add '21' to each side of the equation. -21 + 21 + -10y = -25 + 21 Combine like terms: -21 + 21 = 0 0 + -10y = -25 + 21 -10y = -25 + 21 Combine like terms: -25 + 21 = -4 -10y = -4 Divide each side by '-10'. y = 0.4 Simplifying y = 0.4
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