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Simplifying -62 + 17y + 6 = 4(5y + -5) + -9 Reorder the terms: -62 + 6 + 17y = 4(5y + -5) + -9 Combine like terms: -62 + 6 = -56 -56 + 17y = 4(5y + -5) + -9 Reorder the terms: -56 + 17y = 4(-5 + 5y) + -9 -56 + 17y = (-5 * 4 + 5y * 4) + -9 -56 + 17y = (-20 + 20y) + -9 Reorder the terms: -56 + 17y = -20 + -9 + 20y Combine like terms: -20 + -9 = -29 -56 + 17y = -29 + 20y Solving -56 + 17y = -29 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -56 + 17y + -20y = -29 + 20y + -20y Combine like terms: 17y + -20y = -3y -56 + -3y = -29 + 20y + -20y Combine like terms: 20y + -20y = 0 -56 + -3y = -29 + 0 -56 + -3y = -29 Add '56' to each side of the equation. -56 + 56 + -3y = -29 + 56 Combine like terms: -56 + 56 = 0 0 + -3y = -29 + 56 -3y = -29 + 56 Combine like terms: -29 + 56 = 27 -3y = 27 Divide each side by '-3'. y = -9 Simplifying y = -9
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