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Simplifying -5(3y + -2) + -1y = -3(y + -4) Reorder the terms: -5(-2 + 3y) + -1y = -3(y + -4) (-2 * -5 + 3y * -5) + -1y = -3(y + -4) (10 + -15y) + -1y = -3(y + -4) Combine like terms: -15y + -1y = -16y 10 + -16y = -3(y + -4) Reorder the terms: 10 + -16y = -3(-4 + y) 10 + -16y = (-4 * -3 + y * -3) 10 + -16y = (12 + -3y) Solving 10 + -16y = 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. 10 + -16y + 3y = 12 + -3y + 3y Combine like terms: -16y + 3y = -13y 10 + -13y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + -13y = 12 + 0 10 + -13y = 12 Add '-10' to each side of the equation. 10 + -10 + -13y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -13y = 12 + -10 -13y = 12 + -10 Combine like terms: 12 + -10 = 2 -13y = 2 Divide each side by '-13'. y = -0.1538461538 Simplifying y = -0.1538461538
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