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Simplifying -2(-8y + 4) + -6y = 6(y + -3) + -8 Reorder the terms: -2(4 + -8y) + -6y = 6(y + -3) + -8 (4 * -2 + -8y * -2) + -6y = 6(y + -3) + -8 (-8 + 16y) + -6y = 6(y + -3) + -8 Combine like terms: 16y + -6y = 10y -8 + 10y = 6(y + -3) + -8 Reorder the terms: -8 + 10y = 6(-3 + y) + -8 -8 + 10y = (-3 * 6 + y * 6) + -8 -8 + 10y = (-18 + 6y) + -8 Reorder the terms: -8 + 10y = -18 + -8 + 6y Combine like terms: -18 + -8 = -26 -8 + 10y = -26 + 6y Solving -8 + 10y = -26 + 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. -8 + 10y + -6y = -26 + 6y + -6y Combine like terms: 10y + -6y = 4y -8 + 4y = -26 + 6y + -6y Combine like terms: 6y + -6y = 0 -8 + 4y = -26 + 0 -8 + 4y = -26 Add '8' to each side of the equation. -8 + 8 + 4y = -26 + 8 Combine like terms: -8 + 8 = 0 0 + 4y = -26 + 8 4y = -26 + 8 Combine like terms: -26 + 8 = -18 4y = -18 Divide each side by '4'. y = -4.5 Simplifying y = -4.5
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