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Simplifying 7y + 33(y + -5) = 3(y + 1) + -2 Reorder the terms: 7y + 33(-5 + y) = 3(y + 1) + -2 7y + (-5 * 33 + y * 33) = 3(y + 1) + -2 7y + (-165 + 33y) = 3(y + 1) + -2 Reorder the terms: -165 + 7y + 33y = 3(y + 1) + -2 Combine like terms: 7y + 33y = 40y -165 + 40y = 3(y + 1) + -2 Reorder the terms: -165 + 40y = 3(1 + y) + -2 -165 + 40y = (1 * 3 + y * 3) + -2 -165 + 40y = (3 + 3y) + -2 Reorder the terms: -165 + 40y = 3 + -2 + 3y Combine like terms: 3 + -2 = 1 -165 + 40y = 1 + 3y Solving -165 + 40y = 1 + 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. -165 + 40y + -3y = 1 + 3y + -3y Combine like terms: 40y + -3y = 37y -165 + 37y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 -165 + 37y = 1 + 0 -165 + 37y = 1 Add '165' to each side of the equation. -165 + 165 + 37y = 1 + 165 Combine like terms: -165 + 165 = 0 0 + 37y = 1 + 165 37y = 1 + 165 Combine like terms: 1 + 165 = 166 37y = 166 Divide each side by '37'. y = 4.486486486 Simplifying y = 4.486486486
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