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Simplifying -4(5y + -6) + -1y = -2(y + -3) Reorder the terms: -4(-6 + 5y) + -1y = -2(y + -3) (-6 * -4 + 5y * -4) + -1y = -2(y + -3) (24 + -20y) + -1y = -2(y + -3) Combine like terms: -20y + -1y = -21y 24 + -21y = -2(y + -3) Reorder the terms: 24 + -21y = -2(-3 + y) 24 + -21y = (-3 * -2 + y * -2) 24 + -21y = (6 + -2y) Solving 24 + -21y = 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. 24 + -21y + 2y = 6 + -2y + 2y Combine like terms: -21y + 2y = -19y 24 + -19y = 6 + -2y + 2y Combine like terms: -2y + 2y = 0 24 + -19y = 6 + 0 24 + -19y = 6 Add '-24' to each side of the equation. 24 + -24 + -19y = 6 + -24 Combine like terms: 24 + -24 = 0 0 + -19y = 6 + -24 -19y = 6 + -24 Combine like terms: 6 + -24 = -18 -19y = -18 Divide each side by '-19'. y = 0.9473684211 Simplifying y = 0.9473684211
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