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Simplifying -5(3y + -2) + -1y = -4(y + -3) Reorder the terms: -5(-2 + 3y) + -1y = -4(y + -3) (-2 * -5 + 3y * -5) + -1y = -4(y + -3) (10 + -15y) + -1y = -4(y + -3) Combine like terms: -15y + -1y = -16y 10 + -16y = -4(y + -3) Reorder the terms: 10 + -16y = -4(-3 + y) 10 + -16y = (-3 * -4 + y * -4) 10 + -16y = (12 + -4y) Solving 10 + -16y = 12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 10 + -16y + 4y = 12 + -4y + 4y Combine like terms: -16y + 4y = -12y 10 + -12y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 10 + -12y = 12 + 0 10 + -12y = 12 Add '-10' to each side of the equation. 10 + -10 + -12y = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -12y = 12 + -10 -12y = 12 + -10 Combine like terms: 12 + -10 = 2 -12y = 2 Divide each side by '-12'. y = -0.1666666667 Simplifying y = -0.1666666667
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