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Simplifying -56 = -2(5y + 8) + -1(3y + -12) Reorder the terms: -56 = -2(8 + 5y) + -1(3y + -12) -56 = (8 * -2 + 5y * -2) + -1(3y + -12) -56 = (-16 + -10y) + -1(3y + -12) Reorder the terms: -56 = -16 + -10y + -1(-12 + 3y) -56 = -16 + -10y + (-12 * -1 + 3y * -1) -56 = -16 + -10y + (12 + -3y) Reorder the terms: -56 = -16 + 12 + -10y + -3y Combine like terms: -16 + 12 = -4 -56 = -4 + -10y + -3y Combine like terms: -10y + -3y = -13y -56 = -4 + -13y Solving -56 = -4 + -13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '13y' to each side of the equation. -56 + 13y = -4 + -13y + 13y Combine like terms: -13y + 13y = 0 -56 + 13y = -4 + 0 -56 + 13y = -4 Add '56' to each side of the equation. -56 + 56 + 13y = -4 + 56 Combine like terms: -56 + 56 = 0 0 + 13y = -4 + 56 13y = -4 + 56 Combine like terms: -4 + 56 = 52 13y = 52 Divide each side by '13'. y = 4 Simplifying y = 4
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