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Simplifying 3(y + -4) + -2(y + -5) = 6y + -2(y + -5) Reorder the terms: 3(-4 + y) + -2(y + -5) = 6y + -2(y + -5) (-4 * 3 + y * 3) + -2(y + -5) = 6y + -2(y + -5) (-12 + 3y) + -2(y + -5) = 6y + -2(y + -5) Reorder the terms: -12 + 3y + -2(-5 + y) = 6y + -2(y + -5) -12 + 3y + (-5 * -2 + y * -2) = 6y + -2(y + -5) -12 + 3y + (10 + -2y) = 6y + -2(y + -5) Reorder the terms: -12 + 10 + 3y + -2y = 6y + -2(y + -5) Combine like terms: -12 + 10 = -2 -2 + 3y + -2y = 6y + -2(y + -5) Combine like terms: 3y + -2y = 1y -2 + 1y = 6y + -2(y + -5) Reorder the terms: -2 + 1y = 6y + -2(-5 + y) -2 + 1y = 6y + (-5 * -2 + y * -2) -2 + 1y = 6y + (10 + -2y) Reorder the terms: -2 + 1y = 10 + 6y + -2y Combine like terms: 6y + -2y = 4y -2 + 1y = 10 + 4y Solving -2 + 1y = 10 + 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. -2 + 1y + -4y = 10 + 4y + -4y Combine like terms: 1y + -4y = -3y -2 + -3y = 10 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + -3y = 10 + 0 -2 + -3y = 10 Add '2' to each side of the equation. -2 + 2 + -3y = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -3y = 10 + 2 -3y = 10 + 2 Combine like terms: 10 + 2 = 12 -3y = 12 Divide each side by '-3'. y = -4 Simplifying y = -4
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