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Simplifying (y + -17) + -10 = 4(-1y + -3) Reorder the terms: (-17 + y) + -10 = 4(-1y + -3) Remove parenthesis around (-17 + y) -17 + y + -10 = 4(-1y + -3) Reorder the terms: -17 + -10 + y = 4(-1y + -3) Combine like terms: -17 + -10 = -27 -27 + y = 4(-1y + -3) Reorder the terms: -27 + y = 4(-3 + -1y) -27 + y = (-3 * 4 + -1y * 4) -27 + y = (-12 + -4y) Solving -27 + y = -12 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. -27 + y + 4y = -12 + -4y + 4y Combine like terms: y + 4y = 5y -27 + 5y = -12 + -4y + 4y Combine like terms: -4y + 4y = 0 -27 + 5y = -12 + 0 -27 + 5y = -12 Add '27' to each side of the equation. -27 + 27 + 5y = -12 + 27 Combine like terms: -27 + 27 = 0 0 + 5y = -12 + 27 5y = -12 + 27 Combine like terms: -12 + 27 = 15 5y = 15 Divide each side by '5'. y = 3 Simplifying y = 3
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