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Simplifying -3(3y + -10) + -1y = -4(y + -3) Reorder the terms: -3(-10 + 3y) + -1y = -4(y + -3) (-10 * -3 + 3y * -3) + -1y = -4(y + -3) (30 + -9y) + -1y = -4(y + -3) Combine like terms: -9y + -1y = -10y 30 + -10y = -4(y + -3) Reorder the terms: 30 + -10y = -4(-3 + y) 30 + -10y = (-3 * -4 + y * -4) 30 + -10y = (12 + -4y) Solving 30 + -10y = 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. 30 + -10y + 4y = 12 + -4y + 4y Combine like terms: -10y + 4y = -6y 30 + -6y = 12 + -4y + 4y Combine like terms: -4y + 4y = 0 30 + -6y = 12 + 0 30 + -6y = 12 Add '-30' to each side of the equation. 30 + -30 + -6y = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -6y = 12 + -30 -6y = 12 + -30 Combine like terms: 12 + -30 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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