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Simplifying -7(-4y + 1) + -5y = 5(y + -3) + -2 Reorder the terms: -7(1 + -4y) + -5y = 5(y + -3) + -2 (1 * -7 + -4y * -7) + -5y = 5(y + -3) + -2 (-7 + 28y) + -5y = 5(y + -3) + -2 Combine like terms: 28y + -5y = 23y -7 + 23y = 5(y + -3) + -2 Reorder the terms: -7 + 23y = 5(-3 + y) + -2 -7 + 23y = (-3 * 5 + y * 5) + -2 -7 + 23y = (-15 + 5y) + -2 Reorder the terms: -7 + 23y = -15 + -2 + 5y Combine like terms: -15 + -2 = -17 -7 + 23y = -17 + 5y Solving -7 + 23y = -17 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -7 + 23y + -5y = -17 + 5y + -5y Combine like terms: 23y + -5y = 18y -7 + 18y = -17 + 5y + -5y Combine like terms: 5y + -5y = 0 -7 + 18y = -17 + 0 -7 + 18y = -17 Add '7' to each side of the equation. -7 + 7 + 18y = -17 + 7 Combine like terms: -7 + 7 = 0 0 + 18y = -17 + 7 18y = -17 + 7 Combine like terms: -17 + 7 = -10 18y = -10 Divide each side by '18'. y = -0.5555555556 Simplifying y = -0.5555555556
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