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Simplifying 2(y + -22) + 3(y + -4) = 34 Reorder the terms: 2(-22 + y) + 3(y + -4) = 34 (-22 * 2 + y * 2) + 3(y + -4) = 34 (-44 + 2y) + 3(y + -4) = 34 Reorder the terms: -44 + 2y + 3(-4 + y) = 34 -44 + 2y + (-4 * 3 + y * 3) = 34 -44 + 2y + (-12 + 3y) = 34 Reorder the terms: -44 + -12 + 2y + 3y = 34 Combine like terms: -44 + -12 = -56 -56 + 2y + 3y = 34 Combine like terms: 2y + 3y = 5y -56 + 5y = 34 Solving -56 + 5y = 34 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + 5y = 34 + 56 Combine like terms: -56 + 56 = 0 0 + 5y = 34 + 56 5y = 34 + 56 Combine like terms: 34 + 56 = 90 5y = 90 Divide each side by '5'. y = 18 Simplifying y = 18
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