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Simplifying 7(y + -5) + -1 = -4(-6y + 5) + -5y Reorder the terms: 7(-5 + y) + -1 = -4(-6y + 5) + -5y (-5 * 7 + y * 7) + -1 = -4(-6y + 5) + -5y (-35 + 7y) + -1 = -4(-6y + 5) + -5y Reorder the terms: -35 + -1 + 7y = -4(-6y + 5) + -5y Combine like terms: -35 + -1 = -36 -36 + 7y = -4(-6y + 5) + -5y Reorder the terms: -36 + 7y = -4(5 + -6y) + -5y -36 + 7y = (5 * -4 + -6y * -4) + -5y -36 + 7y = (-20 + 24y) + -5y Combine like terms: 24y + -5y = 19y -36 + 7y = -20 + 19y Solving -36 + 7y = -20 + 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. -36 + 7y + -19y = -20 + 19y + -19y Combine like terms: 7y + -19y = -12y -36 + -12y = -20 + 19y + -19y Combine like terms: 19y + -19y = 0 -36 + -12y = -20 + 0 -36 + -12y = -20 Add '36' to each side of the equation. -36 + 36 + -12y = -20 + 36 Combine like terms: -36 + 36 = 0 0 + -12y = -20 + 36 -12y = -20 + 36 Combine like terms: -20 + 36 = 16 -12y = 16 Divide each side by '-12'. y = -1.333333333 Simplifying y = -1.333333333
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