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Simplifying -4(y + 5) = 2(y + 25) Reorder the terms: -4(5 + y) = 2(y + 25) (5 * -4 + y * -4) = 2(y + 25) (-20 + -4y) = 2(y + 25) Reorder the terms: -20 + -4y = 2(25 + y) -20 + -4y = (25 * 2 + y * 2) -20 + -4y = (50 + 2y) Solving -20 + -4y = 50 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -20 + -4y + -2y = 50 + 2y + -2y Combine like terms: -4y + -2y = -6y -20 + -6y = 50 + 2y + -2y Combine like terms: 2y + -2y = 0 -20 + -6y = 50 + 0 -20 + -6y = 50 Add '20' to each side of the equation. -20 + 20 + -6y = 50 + 20 Combine like terms: -20 + 20 = 0 0 + -6y = 50 + 20 -6y = 50 + 20 Combine like terms: 50 + 20 = 70 -6y = 70 Divide each side by '-6'. y = -11.66666667 Simplifying y = -11.66666667
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