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Simplifying -4(-4y + 8) + -6y = 6(y + -5) + -8 Reorder the terms: -4(8 + -4y) + -6y = 6(y + -5) + -8 (8 * -4 + -4y * -4) + -6y = 6(y + -5) + -8 (-32 + 16y) + -6y = 6(y + -5) + -8 Combine like terms: 16y + -6y = 10y -32 + 10y = 6(y + -5) + -8 Reorder the terms: -32 + 10y = 6(-5 + y) + -8 -32 + 10y = (-5 * 6 + y * 6) + -8 -32 + 10y = (-30 + 6y) + -8 Reorder the terms: -32 + 10y = -30 + -8 + 6y Combine like terms: -30 + -8 = -38 -32 + 10y = -38 + 6y Solving -32 + 10y = -38 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -32 + 10y + -6y = -38 + 6y + -6y Combine like terms: 10y + -6y = 4y -32 + 4y = -38 + 6y + -6y Combine like terms: 6y + -6y = 0 -32 + 4y = -38 + 0 -32 + 4y = -38 Add '32' to each side of the equation. -32 + 32 + 4y = -38 + 32 Combine like terms: -32 + 32 = 0 0 + 4y = -38 + 32 4y = -38 + 32 Combine like terms: -38 + 32 = -6 4y = -6 Divide each side by '4'. y = -1.5 Simplifying y = -1.5
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