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Simplifying 4(y + -2) = 7y + 22 Reorder the terms: 4(-2 + y) = 7y + 22 (-2 * 4 + y * 4) = 7y + 22 (-8 + 4y) = 7y + 22 Reorder the terms: -8 + 4y = 22 + 7y Solving -8 + 4y = 22 + 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. -8 + 4y + -7y = 22 + 7y + -7y Combine like terms: 4y + -7y = -3y -8 + -3y = 22 + 7y + -7y Combine like terms: 7y + -7y = 0 -8 + -3y = 22 + 0 -8 + -3y = 22 Add '8' to each side of the equation. -8 + 8 + -3y = 22 + 8 Combine like terms: -8 + 8 = 0 0 + -3y = 22 + 8 -3y = 22 + 8 Combine like terms: 22 + 8 = 30 -3y = 30 Divide each side by '-3'. y = -10 Simplifying y = -10
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