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Simplifying -5(3y + -4) + -1y = 2(y + -3) Reorder the terms: -5(-4 + 3y) + -1y = 2(y + -3) (-4 * -5 + 3y * -5) + -1y = 2(y + -3) (20 + -15y) + -1y = 2(y + -3) Combine like terms: -15y + -1y = -16y 20 + -16y = 2(y + -3) Reorder the terms: 20 + -16y = 2(-3 + y) 20 + -16y = (-3 * 2 + y * 2) 20 + -16y = (-6 + 2y) Solving 20 + -16y = -6 + 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 + -16y + -2y = -6 + 2y + -2y Combine like terms: -16y + -2y = -18y 20 + -18y = -6 + 2y + -2y Combine like terms: 2y + -2y = 0 20 + -18y = -6 + 0 20 + -18y = -6 Add '-20' to each side of the equation. 20 + -20 + -18y = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -18y = -6 + -20 -18y = -6 + -20 Combine like terms: -6 + -20 = -26 -18y = -26 Divide each side by '-18'. y = 1.444444444 Simplifying y = 1.444444444
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