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Simplifying 3(2y + -5) + -2(y + -4) = 3y + -18 Reorder the terms: 3(-5 + 2y) + -2(y + -4) = 3y + -18 (-5 * 3 + 2y * 3) + -2(y + -4) = 3y + -18 (-15 + 6y) + -2(y + -4) = 3y + -18 Reorder the terms: -15 + 6y + -2(-4 + y) = 3y + -18 -15 + 6y + (-4 * -2 + y * -2) = 3y + -18 -15 + 6y + (8 + -2y) = 3y + -18 Reorder the terms: -15 + 8 + 6y + -2y = 3y + -18 Combine like terms: -15 + 8 = -7 -7 + 6y + -2y = 3y + -18 Combine like terms: 6y + -2y = 4y -7 + 4y = 3y + -18 Reorder the terms: -7 + 4y = -18 + 3y Solving -7 + 4y = -18 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -7 + 4y + -3y = -18 + 3y + -3y Combine like terms: 4y + -3y = 1y -7 + 1y = -18 + 3y + -3y Combine like terms: 3y + -3y = 0 -7 + 1y = -18 + 0 -7 + 1y = -18 Add '7' to each side of the equation. -7 + 7 + 1y = -18 + 7 Combine like terms: -7 + 7 = 0 0 + 1y = -18 + 7 1y = -18 + 7 Combine like terms: -18 + 7 = -11 1y = -11 Divide each side by '1'. y = -11 Simplifying y = -11
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