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Simplifying 7(y + -6) + -3 = -5(-5y + 7) + -2y Reorder the terms: 7(-6 + y) + -3 = -5(-5y + 7) + -2y (-6 * 7 + y * 7) + -3 = -5(-5y + 7) + -2y (-42 + 7y) + -3 = -5(-5y + 7) + -2y Reorder the terms: -42 + -3 + 7y = -5(-5y + 7) + -2y Combine like terms: -42 + -3 = -45 -45 + 7y = -5(-5y + 7) + -2y Reorder the terms: -45 + 7y = -5(7 + -5y) + -2y -45 + 7y = (7 * -5 + -5y * -5) + -2y -45 + 7y = (-35 + 25y) + -2y Combine like terms: 25y + -2y = 23y -45 + 7y = -35 + 23y Solving -45 + 7y = -35 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. -45 + 7y + -23y = -35 + 23y + -23y Combine like terms: 7y + -23y = -16y -45 + -16y = -35 + 23y + -23y Combine like terms: 23y + -23y = 0 -45 + -16y = -35 + 0 -45 + -16y = -35 Add '45' to each side of the equation. -45 + 45 + -16y = -35 + 45 Combine like terms: -45 + 45 = 0 0 + -16y = -35 + 45 -16y = -35 + 45 Combine like terms: -35 + 45 = 10 -16y = 10 Divide each side by '-16'. y = -0.625 Simplifying y = -0.625
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