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Simplifying -38 + 17y + 9 = 4(5y + -3) + -2 Reorder the terms: -38 + 9 + 17y = 4(5y + -3) + -2 Combine like terms: -38 + 9 = -29 -29 + 17y = 4(5y + -3) + -2 Reorder the terms: -29 + 17y = 4(-3 + 5y) + -2 -29 + 17y = (-3 * 4 + 5y * 4) + -2 -29 + 17y = (-12 + 20y) + -2 Reorder the terms: -29 + 17y = -12 + -2 + 20y Combine like terms: -12 + -2 = -14 -29 + 17y = -14 + 20y Solving -29 + 17y = -14 + 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. -29 + 17y + -20y = -14 + 20y + -20y Combine like terms: 17y + -20y = -3y -29 + -3y = -14 + 20y + -20y Combine like terms: 20y + -20y = 0 -29 + -3y = -14 + 0 -29 + -3y = -14 Add '29' to each side of the equation. -29 + 29 + -3y = -14 + 29 Combine like terms: -29 + 29 = 0 0 + -3y = -14 + 29 -3y = -14 + 29 Combine like terms: -14 + 29 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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