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Simplifying 4(y + -5) = -2(y + -2) Reorder the terms: 4(-5 + y) = -2(y + -2) (-5 * 4 + y * 4) = -2(y + -2) (-20 + 4y) = -2(y + -2) Reorder the terms: -20 + 4y = -2(-2 + y) -20 + 4y = (-2 * -2 + y * -2) -20 + 4y = (4 + -2y) Solving -20 + 4y = 4 + -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 = 4 + -2y + 2y Combine like terms: 4y + 2y = 6y -20 + 6y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 -20 + 6y = 4 + 0 -20 + 6y = 4 Add '20' to each side of the equation. -20 + 20 + 6y = 4 + 20 Combine like terms: -20 + 20 = 0 0 + 6y = 4 + 20 6y = 4 + 20 Combine like terms: 4 + 20 = 24 6y = 24 Divide each side by '6'. y = 4 Simplifying y = 4
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