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Simplifying 10 + -4(y + -2) = 2y + 6 Reorder the terms: 10 + -4(-2 + y) = 2y + 6 10 + (-2 * -4 + y * -4) = 2y + 6 10 + (8 + -4y) = 2y + 6 Combine like terms: 10 + 8 = 18 18 + -4y = 2y + 6 Reorder the terms: 18 + -4y = 6 + 2y Solving 18 + -4y = 6 + 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. 18 + -4y + -2y = 6 + 2y + -2y Combine like terms: -4y + -2y = -6y 18 + -6y = 6 + 2y + -2y Combine like terms: 2y + -2y = 0 18 + -6y = 6 + 0 18 + -6y = 6 Add '-18' to each side of the equation. 18 + -18 + -6y = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -6y = 6 + -18 -6y = 6 + -18 Combine like terms: 6 + -18 = -12 -6y = -12 Divide each side by '-6'. y = 2 Simplifying y = 2
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