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