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Simplifying 5(y + -6) = 3(y + -4) Reorder the terms: 5(-6 + y) = 3(y + -4) (-6 * 5 + y * 5) = 3(y + -4) (-30 + 5y) = 3(y + -4) Reorder the terms: -30 + 5y = 3(-4 + y) -30 + 5y = (-4 * 3 + y * 3) -30 + 5y = (-12 + 3y) Solving -30 + 5y = -12 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -30 + 5y + -3y = -12 + 3y + -3y Combine like terms: 5y + -3y = 2y -30 + 2y = -12 + 3y + -3y Combine like terms: 3y + -3y = 0 -30 + 2y = -12 + 0 -30 + 2y = -12 Add '30' to each side of the equation. -30 + 30 + 2y = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 2y = -12 + 30 2y = -12 + 30 Combine like terms: -12 + 30 = 18 2y = 18 Divide each side by '2'. y = 9 Simplifying y = 9
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