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Simplifying -5(4y + -3) + -1y = -3(y + -4) Reorder the terms: -5(-3 + 4y) + -1y = -3(y + -4) (-3 * -5 + 4y * -5) + -1y = -3(y + -4) (15 + -20y) + -1y = -3(y + -4) Combine like terms: -20y + -1y = -21y 15 + -21y = -3(y + -4) Reorder the terms: 15 + -21y = -3(-4 + y) 15 + -21y = (-4 * -3 + y * -3) 15 + -21y = (12 + -3y) Solving 15 + -21y = 12 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 15 + -21y + 3y = 12 + -3y + 3y Combine like terms: -21y + 3y = -18y 15 + -18y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + -18y = 12 + 0 15 + -18y = 12 Add '-15' to each side of the equation. 15 + -15 + -18y = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -18y = 12 + -15 -18y = 12 + -15 Combine like terms: 12 + -15 = -3 -18y = -3 Divide each side by '-18'. y = 0.1666666667 Simplifying y = 0.1666666667
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