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Simplifying 4 + -2(y + -4) = 4y + -7 Reorder the terms: 4 + -2(-4 + y) = 4y + -7 4 + (-4 * -2 + y * -2) = 4y + -7 4 + (8 + -2y) = 4y + -7 Combine like terms: 4 + 8 = 12 12 + -2y = 4y + -7 Reorder the terms: 12 + -2y = -7 + 4y Solving 12 + -2y = -7 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 12 + -2y + -4y = -7 + 4y + -4y Combine like terms: -2y + -4y = -6y 12 + -6y = -7 + 4y + -4y Combine like terms: 4y + -4y = 0 12 + -6y = -7 + 0 12 + -6y = -7 Add '-12' to each side of the equation. 12 + -12 + -6y = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = -7 + -12 -6y = -7 + -12 Combine like terms: -7 + -12 = -19 -6y = -19 Divide each side by '-6'. y = 3.166666667 Simplifying y = 3.166666667
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