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Simplifying 5(4y + -1) + -2 = 6(3y + -4) + 3 Reorder the terms: 5(-1 + 4y) + -2 = 6(3y + -4) + 3 (-1 * 5 + 4y * 5) + -2 = 6(3y + -4) + 3 (-5 + 20y) + -2 = 6(3y + -4) + 3 Reorder the terms: -5 + -2 + 20y = 6(3y + -4) + 3 Combine like terms: -5 + -2 = -7 -7 + 20y = 6(3y + -4) + 3 Reorder the terms: -7 + 20y = 6(-4 + 3y) + 3 -7 + 20y = (-4 * 6 + 3y * 6) + 3 -7 + 20y = (-24 + 18y) + 3 Reorder the terms: -7 + 20y = -24 + 3 + 18y Combine like terms: -24 + 3 = -21 -7 + 20y = -21 + 18y Solving -7 + 20y = -21 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -7 + 20y + -18y = -21 + 18y + -18y Combine like terms: 20y + -18y = 2y -7 + 2y = -21 + 18y + -18y Combine like terms: 18y + -18y = 0 -7 + 2y = -21 + 0 -7 + 2y = -21 Add '7' to each side of the equation. -7 + 7 + 2y = -21 + 7 Combine like terms: -7 + 7 = 0 0 + 2y = -21 + 7 2y = -21 + 7 Combine like terms: -21 + 7 = -14 2y = -14 Divide each side by '2'. y = -7 Simplifying y = -7
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