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Simplifying 10 + -1(2y + -2) = 2(y + -2) + 4y Reorder the terms: 10 + -1(-2 + 2y) = 2(y + -2) + 4y 10 + (-2 * -1 + 2y * -1) = 2(y + -2) + 4y 10 + (2 + -2y) = 2(y + -2) + 4y Combine like terms: 10 + 2 = 12 12 + -2y = 2(y + -2) + 4y Reorder the terms: 12 + -2y = 2(-2 + y) + 4y 12 + -2y = (-2 * 2 + y * 2) + 4y 12 + -2y = (-4 + 2y) + 4y Combine like terms: 2y + 4y = 6y 12 + -2y = -4 + 6y Solving 12 + -2y = -4 + 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. 12 + -2y + -6y = -4 + 6y + -6y Combine like terms: -2y + -6y = -8y 12 + -8y = -4 + 6y + -6y Combine like terms: 6y + -6y = 0 12 + -8y = -4 + 0 12 + -8y = -4 Add '-12' to each side of the equation. 12 + -12 + -8y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8y = -4 + -12 -8y = -4 + -12 Combine like terms: -4 + -12 = -16 -8y = -16 Divide each side by '-8'. y = 2 Simplifying y = 2
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