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Simplifying -4(5y + -8) + -1y = -2(y + -2) Reorder the terms: -4(-8 + 5y) + -1y = -2(y + -2) (-8 * -4 + 5y * -4) + -1y = -2(y + -2) (32 + -20y) + -1y = -2(y + -2) Combine like terms: -20y + -1y = -21y 32 + -21y = -2(y + -2) Reorder the terms: 32 + -21y = -2(-2 + y) 32 + -21y = (-2 * -2 + y * -2) 32 + -21y = (4 + -2y) Solving 32 + -21y = 4 + -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. 32 + -21y + 2y = 4 + -2y + 2y Combine like terms: -21y + 2y = -19y 32 + -19y = 4 + -2y + 2y Combine like terms: -2y + 2y = 0 32 + -19y = 4 + 0 32 + -19y = 4 Add '-32' to each side of the equation. 32 + -32 + -19y = 4 + -32 Combine like terms: 32 + -32 = 0 0 + -19y = 4 + -32 -19y = 4 + -32 Combine like terms: 4 + -32 = -28 -19y = -28 Divide each side by '-19'. y = 1.473684211 Simplifying y = 1.473684211
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