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Simplifying 3(2y + -6) + -1(4y + 3) = -7 + -12 Reorder the terms: 3(-6 + 2y) + -1(4y + 3) = -7 + -12 (-6 * 3 + 2y * 3) + -1(4y + 3) = -7 + -12 (-18 + 6y) + -1(4y + 3) = -7 + -12 Reorder the terms: -18 + 6y + -1(3 + 4y) = -7 + -12 -18 + 6y + (3 * -1 + 4y * -1) = -7 + -12 -18 + 6y + (-3 + -4y) = -7 + -12 Reorder the terms: -18 + -3 + 6y + -4y = -7 + -12 Combine like terms: -18 + -3 = -21 -21 + 6y + -4y = -7 + -12 Combine like terms: 6y + -4y = 2y -21 + 2y = -7 + -12 Combine like terms: -7 + -12 = -19 -21 + 2y = -19 Solving -21 + 2y = -19 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 2y = -19 + 21 Combine like terms: -21 + 21 = 0 0 + 2y = -19 + 21 2y = -19 + 21 Combine like terms: -19 + 21 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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