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Simplifying -7y + 38 = -4(y + -8) Reorder the terms: 38 + -7y = -4(y + -8) Reorder the terms: 38 + -7y = -4(-8 + y) 38 + -7y = (-8 * -4 + y * -4) 38 + -7y = (32 + -4y) Solving 38 + -7y = 32 + -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. 38 + -7y + 4y = 32 + -4y + 4y Combine like terms: -7y + 4y = -3y 38 + -3y = 32 + -4y + 4y Combine like terms: -4y + 4y = 0 38 + -3y = 32 + 0 38 + -3y = 32 Add '-38' to each side of the equation. 38 + -38 + -3y = 32 + -38 Combine like terms: 38 + -38 = 0 0 + -3y = 32 + -38 -3y = 32 + -38 Combine like terms: 32 + -38 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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