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Simplifying -6(-5y + 9) + -7y = 7(y + -6) + -4 Reorder the terms: -6(9 + -5y) + -7y = 7(y + -6) + -4 (9 * -6 + -5y * -6) + -7y = 7(y + -6) + -4 (-54 + 30y) + -7y = 7(y + -6) + -4 Combine like terms: 30y + -7y = 23y -54 + 23y = 7(y + -6) + -4 Reorder the terms: -54 + 23y = 7(-6 + y) + -4 -54 + 23y = (-6 * 7 + y * 7) + -4 -54 + 23y = (-42 + 7y) + -4 Reorder the terms: -54 + 23y = -42 + -4 + 7y Combine like terms: -42 + -4 = -46 -54 + 23y = -46 + 7y Solving -54 + 23y = -46 + 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. -54 + 23y + -7y = -46 + 7y + -7y Combine like terms: 23y + -7y = 16y -54 + 16y = -46 + 7y + -7y Combine like terms: 7y + -7y = 0 -54 + 16y = -46 + 0 -54 + 16y = -46 Add '54' to each side of the equation. -54 + 54 + 16y = -46 + 54 Combine like terms: -54 + 54 = 0 0 + 16y = -46 + 54 16y = -46 + 54 Combine like terms: -46 + 54 = 8 16y = 8 Divide each side by '16'. y = 0.5 Simplifying y = 0.5
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