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Simplifying -83 + 10y + 8 = 4(5y + -3) + -3 Reorder the terms: -83 + 8 + 10y = 4(5y + -3) + -3 Combine like terms: -83 + 8 = -75 -75 + 10y = 4(5y + -3) + -3 Reorder the terms: -75 + 10y = 4(-3 + 5y) + -3 -75 + 10y = (-3 * 4 + 5y * 4) + -3 -75 + 10y = (-12 + 20y) + -3 Reorder the terms: -75 + 10y = -12 + -3 + 20y Combine like terms: -12 + -3 = -15 -75 + 10y = -15 + 20y Solving -75 + 10y = -15 + 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. -75 + 10y + -20y = -15 + 20y + -20y Combine like terms: 10y + -20y = -10y -75 + -10y = -15 + 20y + -20y Combine like terms: 20y + -20y = 0 -75 + -10y = -15 + 0 -75 + -10y = -15 Add '75' to each side of the equation. -75 + 75 + -10y = -15 + 75 Combine like terms: -75 + 75 = 0 0 + -10y = -15 + 75 -10y = -15 + 75 Combine like terms: -15 + 75 = 60 -10y = 60 Divide each side by '-10'. y = -6 Simplifying y = -6
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