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Simplifying 7y + -44 = 3(y + -4) Reorder the terms: -44 + 7y = 3(y + -4) Reorder the terms: -44 + 7y = 3(-4 + y) -44 + 7y = (-4 * 3 + y * 3) -44 + 7y = (-12 + 3y) Solving -44 + 7y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -44 + 7y + -3y = -12 + 3y + -3y Combine like terms: 7y + -3y = 4y -44 + 4y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -44 + 4y = -12 + 0 -44 + 4y = -12 Add '44' to each side of the equation. -44 + 44 + 4y = -12 + 44 Combine like terms: -44 + 44 = 0 0 + 4y = -12 + 44 4y = -12 + 44 Combine like terms: -12 + 44 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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