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Simplifying 6(2y + -3) = 7(y + -13) Reorder the terms: 6(-3 + 2y) = 7(y + -13) (-3 * 6 + 2y * 6) = 7(y + -13) (-18 + 12y) = 7(y + -13) Reorder the terms: -18 + 12y = 7(-13 + y) -18 + 12y = (-13 * 7 + y * 7) -18 + 12y = (-91 + 7y) Solving -18 + 12y = -91 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -18 + 12y + -7y = -91 + 7y + -7y Combine like terms: 12y + -7y = 5y -18 + 5y = -91 + 7y + -7y Combine like terms: 7y + -7y = 0 -18 + 5y = -91 + 0 -18 + 5y = -91 Add '18' to each side of the equation. -18 + 18 + 5y = -91 + 18 Combine like terms: -18 + 18 = 0 0 + 5y = -91 + 18 5y = -91 + 18 Combine like terms: -91 + 18 = -73 5y = -73 Divide each side by '5'. y = -14.6 Simplifying y = -14.6
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