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Simplifying 4(y + -5) = 15(2y + -4) Reorder the terms: 4(-5 + y) = 15(2y + -4) (-5 * 4 + y * 4) = 15(2y + -4) (-20 + 4y) = 15(2y + -4) Reorder the terms: -20 + 4y = 15(-4 + 2y) -20 + 4y = (-4 * 15 + 2y * 15) -20 + 4y = (-60 + 30y) Solving -20 + 4y = -60 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -20 + 4y + -30y = -60 + 30y + -30y Combine like terms: 4y + -30y = -26y -20 + -26y = -60 + 30y + -30y Combine like terms: 30y + -30y = 0 -20 + -26y = -60 + 0 -20 + -26y = -60 Add '20' to each side of the equation. -20 + 20 + -26y = -60 + 20 Combine like terms: -20 + 20 = 0 0 + -26y = -60 + 20 -26y = -60 + 20 Combine like terms: -60 + 20 = -40 -26y = -40 Divide each side by '-26'. y = 1.538461538 Simplifying y = 1.538461538
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