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Simplifying 4y + 10 + -1(2y + 8) = 6(y + -3) Reorder the terms: 4y + 10 + -1(8 + 2y) = 6(y + -3) 4y + 10 + (8 * -1 + 2y * -1) = 6(y + -3) 4y + 10 + (-8 + -2y) = 6(y + -3) Reorder the terms: 10 + -8 + 4y + -2y = 6(y + -3) Combine like terms: 10 + -8 = 2 2 + 4y + -2y = 6(y + -3) Combine like terms: 4y + -2y = 2y 2 + 2y = 6(y + -3) Reorder the terms: 2 + 2y = 6(-3 + y) 2 + 2y = (-3 * 6 + y * 6) 2 + 2y = (-18 + 6y) Solving 2 + 2y = -18 + 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. 2 + 2y + -6y = -18 + 6y + -6y Combine like terms: 2y + -6y = -4y 2 + -4y = -18 + 6y + -6y Combine like terms: 6y + -6y = 0 2 + -4y = -18 + 0 2 + -4y = -18 Add '-2' to each side of the equation. 2 + -2 + -4y = -18 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = -18 + -2 -4y = -18 + -2 Combine like terms: -18 + -2 = -20 -4y = -20 Divide each side by '-4'. y = 5 Simplifying y = 5
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