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Simplifying 2y + -4(y + -2) = y + -7 Reorder the terms: 2y + -4(-2 + y) = y + -7 2y + (-2 * -4 + y * -4) = y + -7 2y + (8 + -4y) = y + -7 Reorder the terms: 8 + 2y + -4y = y + -7 Combine like terms: 2y + -4y = -2y 8 + -2y = y + -7 Reorder the terms: 8 + -2y = -7 + y Solving 8 + -2y = -7 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 8 + -2y + -1y = -7 + y + -1y Combine like terms: -2y + -1y = -3y 8 + -3y = -7 + y + -1y Combine like terms: y + -1y = 0 8 + -3y = -7 + 0 8 + -3y = -7 Add '-8' to each side of the equation. 8 + -8 + -3y = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = -7 + -8 -3y = -7 + -8 Combine like terms: -7 + -8 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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