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Simplifying 5(y + -5) + -1 = -3(-7y + 4) + -6y Reorder the terms: 5(-5 + y) + -1 = -3(-7y + 4) + -6y (-5 * 5 + y * 5) + -1 = -3(-7y + 4) + -6y (-25 + 5y) + -1 = -3(-7y + 4) + -6y Reorder the terms: -25 + -1 + 5y = -3(-7y + 4) + -6y Combine like terms: -25 + -1 = -26 -26 + 5y = -3(-7y + 4) + -6y Reorder the terms: -26 + 5y = -3(4 + -7y) + -6y -26 + 5y = (4 * -3 + -7y * -3) + -6y -26 + 5y = (-12 + 21y) + -6y Combine like terms: 21y + -6y = 15y -26 + 5y = -12 + 15y Solving -26 + 5y = -12 + 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. -26 + 5y + -15y = -12 + 15y + -15y Combine like terms: 5y + -15y = -10y -26 + -10y = -12 + 15y + -15y Combine like terms: 15y + -15y = 0 -26 + -10y = -12 + 0 -26 + -10y = -12 Add '26' to each side of the equation. -26 + 26 + -10y = -12 + 26 Combine like terms: -26 + 26 = 0 0 + -10y = -12 + 26 -10y = -12 + 26 Combine like terms: -12 + 26 = 14 -10y = 14 Divide each side by '-10'. y = -1.4 Simplifying y = -1.4
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