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Simplifying -3y + 10 = -2(3y + 4) Reorder the terms: 10 + -3y = -2(3y + 4) Reorder the terms: 10 + -3y = -2(4 + 3y) 10 + -3y = (4 * -2 + 3y * -2) 10 + -3y = (-8 + -6y) Solving 10 + -3y = -8 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 10 + -3y + 6y = -8 + -6y + 6y Combine like terms: -3y + 6y = 3y 10 + 3y = -8 + -6y + 6y Combine like terms: -6y + 6y = 0 10 + 3y = -8 + 0 10 + 3y = -8 Add '-10' to each side of the equation. 10 + -10 + 3y = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 3y = -8 + -10 3y = -8 + -10 Combine like terms: -8 + -10 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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