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Simplifying 3y + -22 = -7(y + -4) Reorder the terms: -22 + 3y = -7(y + -4) Reorder the terms: -22 + 3y = -7(-4 + y) -22 + 3y = (-4 * -7 + y * -7) -22 + 3y = (28 + -7y) Solving -22 + 3y = 28 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -22 + 3y + 7y = 28 + -7y + 7y Combine like terms: 3y + 7y = 10y -22 + 10y = 28 + -7y + 7y Combine like terms: -7y + 7y = 0 -22 + 10y = 28 + 0 -22 + 10y = 28 Add '22' to each side of the equation. -22 + 22 + 10y = 28 + 22 Combine like terms: -22 + 22 = 0 0 + 10y = 28 + 22 10y = 28 + 22 Combine like terms: 28 + 22 = 50 10y = 50 Divide each side by '10'. y = 5 Simplifying y = 5
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