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Simplifying -3(2y + -6) + -1y = -4(y + -3) Reorder the terms: -3(-6 + 2y) + -1y = -4(y + -3) (-6 * -3 + 2y * -3) + -1y = -4(y + -3) (18 + -6y) + -1y = -4(y + -3) Combine like terms: -6y + -1y = -7y 18 + -7y = -4(y + -3) Reorder the terms: 18 + -7y = -4(-3 + y) 18 + -7y = (-3 * -4 + y * -4) 18 + -7y = (12 + -4y) Solving 18 + -7y = 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. 18 + -7y + 4y = 12 + -4y + 4y Combine like terms: -7y + 4y = -3y 18 + -3y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 18 + -3y = 12 + 0 18 + -3y = 12 Add '-18' to each side of the equation. 18 + -18 + -3y = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -3y = 12 + -18 -3y = 12 + -18 Combine like terms: 12 + -18 = -6 -3y = -6 Divide each side by '-3'. y = 2 Simplifying y = 2
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