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Simplifying -20y + -10 + -17y = 18 + -7(7y + -20) Reorder the terms: -10 + -20y + -17y = 18 + -7(7y + -20) Combine like terms: -20y + -17y = -37y -10 + -37y = 18 + -7(7y + -20) Reorder the terms: -10 + -37y = 18 + -7(-20 + 7y) -10 + -37y = 18 + (-20 * -7 + 7y * -7) -10 + -37y = 18 + (140 + -49y) Combine like terms: 18 + 140 = 158 -10 + -37y = 158 + -49y Solving -10 + -37y = 158 + -49y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '49y' to each side of the equation. -10 + -37y + 49y = 158 + -49y + 49y Combine like terms: -37y + 49y = 12y -10 + 12y = 158 + -49y + 49y Combine like terms: -49y + 49y = 0 -10 + 12y = 158 + 0 -10 + 12y = 158 Add '10' to each side of the equation. -10 + 10 + 12y = 158 + 10 Combine like terms: -10 + 10 = 0 0 + 12y = 158 + 10 12y = 158 + 10 Combine like terms: 158 + 10 = 168 12y = 168 Divide each side by '12'. y = 14 Simplifying y = 14
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