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Simplifying -4(-4y + 2) + -6y = 4(y + -3) + -5 Reorder the terms: -4(2 + -4y) + -6y = 4(y + -3) + -5 (2 * -4 + -4y * -4) + -6y = 4(y + -3) + -5 (-8 + 16y) + -6y = 4(y + -3) + -5 Combine like terms: 16y + -6y = 10y -8 + 10y = 4(y + -3) + -5 Reorder the terms: -8 + 10y = 4(-3 + y) + -5 -8 + 10y = (-3 * 4 + y * 4) + -5 -8 + 10y = (-12 + 4y) + -5 Reorder the terms: -8 + 10y = -12 + -5 + 4y Combine like terms: -12 + -5 = -17 -8 + 10y = -17 + 4y Solving -8 + 10y = -17 + 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. -8 + 10y + -4y = -17 + 4y + -4y Combine like terms: 10y + -4y = 6y -8 + 6y = -17 + 4y + -4y Combine like terms: 4y + -4y = 0 -8 + 6y = -17 + 0 -8 + 6y = -17 Add '8' to each side of the equation. -8 + 8 + 6y = -17 + 8 Combine like terms: -8 + 8 = 0 0 + 6y = -17 + 8 6y = -17 + 8 Combine like terms: -17 + 8 = -9 6y = -9 Divide each side by '6'. y = -1.5 Simplifying y = -1.5
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