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Simplifying -38 + 17y + 2 = 5(4y + -3) + -9 Reorder the terms: -38 + 2 + 17y = 5(4y + -3) + -9 Combine like terms: -38 + 2 = -36 -36 + 17y = 5(4y + -3) + -9 Reorder the terms: -36 + 17y = 5(-3 + 4y) + -9 -36 + 17y = (-3 * 5 + 4y * 5) + -9 -36 + 17y = (-15 + 20y) + -9 Reorder the terms: -36 + 17y = -15 + -9 + 20y Combine like terms: -15 + -9 = -24 -36 + 17y = -24 + 20y Solving -36 + 17y = -24 + 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. -36 + 17y + -20y = -24 + 20y + -20y Combine like terms: 17y + -20y = -3y -36 + -3y = -24 + 20y + -20y Combine like terms: 20y + -20y = 0 -36 + -3y = -24 + 0 -36 + -3y = -24 Add '36' to each side of the equation. -36 + 36 + -3y = -24 + 36 Combine like terms: -36 + 36 = 0 0 + -3y = -24 + 36 -3y = -24 + 36 Combine like terms: -24 + 36 = 12 -3y = 12 Divide each side by '-3'. y = -4 Simplifying y = -4
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