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Simplifying 5(y + -4) = 7(y + -2) Reorder the terms: 5(-4 + y) = 7(y + -2) (-4 * 5 + y * 5) = 7(y + -2) (-20 + 5y) = 7(y + -2) Reorder the terms: -20 + 5y = 7(-2 + y) -20 + 5y = (-2 * 7 + y * 7) -20 + 5y = (-14 + 7y) Solving -20 + 5y = -14 + 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. -20 + 5y + -7y = -14 + 7y + -7y Combine like terms: 5y + -7y = -2y -20 + -2y = -14 + 7y + -7y Combine like terms: 7y + -7y = 0 -20 + -2y = -14 + 0 -20 + -2y = -14 Add '20' to each side of the equation. -20 + 20 + -2y = -14 + 20 Combine like terms: -20 + 20 = 0 0 + -2y = -14 + 20 -2y = -14 + 20 Combine like terms: -14 + 20 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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