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Simplifying -5 + 7(3y + -6) = -9(2y + 2) + 2 Reorder the terms: -5 + 7(-6 + 3y) = -9(2y + 2) + 2 -5 + (-6 * 7 + 3y * 7) = -9(2y + 2) + 2 -5 + (-42 + 21y) = -9(2y + 2) + 2 Combine like terms: -5 + -42 = -47 -47 + 21y = -9(2y + 2) + 2 Reorder the terms: -47 + 21y = -9(2 + 2y) + 2 -47 + 21y = (2 * -9 + 2y * -9) + 2 -47 + 21y = (-18 + -18y) + 2 Reorder the terms: -47 + 21y = -18 + 2 + -18y Combine like terms: -18 + 2 = -16 -47 + 21y = -16 + -18y Solving -47 + 21y = -16 + -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. -47 + 21y + 18y = -16 + -18y + 18y Combine like terms: 21y + 18y = 39y -47 + 39y = -16 + -18y + 18y Combine like terms: -18y + 18y = 0 -47 + 39y = -16 + 0 -47 + 39y = -16 Add '47' to each side of the equation. -47 + 47 + 39y = -16 + 47 Combine like terms: -47 + 47 = 0 0 + 39y = -16 + 47 39y = -16 + 47 Combine like terms: -16 + 47 = 31 39y = 31 Divide each side by '39'. y = 0.7948717949 Simplifying y = 0.7948717949
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