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Simplifying -4(-6y + 6) + -7y = 7(y + -5) + -5 Reorder the terms: -4(6 + -6y) + -7y = 7(y + -5) + -5 (6 * -4 + -6y * -4) + -7y = 7(y + -5) + -5 (-24 + 24y) + -7y = 7(y + -5) + -5 Combine like terms: 24y + -7y = 17y -24 + 17y = 7(y + -5) + -5 Reorder the terms: -24 + 17y = 7(-5 + y) + -5 -24 + 17y = (-5 * 7 + y * 7) + -5 -24 + 17y = (-35 + 7y) + -5 Reorder the terms: -24 + 17y = -35 + -5 + 7y Combine like terms: -35 + -5 = -40 -24 + 17y = -40 + 7y Solving -24 + 17y = -40 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -24 + 17y + -7y = -40 + 7y + -7y Combine like terms: 17y + -7y = 10y -24 + 10y = -40 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + 10y = -40 + 0 -24 + 10y = -40 Add '24' to each side of the equation. -24 + 24 + 10y = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 10y = -40 + 24 10y = -40 + 24 Combine like terms: -40 + 24 = -16 10y = -16 Divide each side by '10'. y = -1.6 Simplifying y = -1.6
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