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Simplifying -5 + -9(2y + 3) = 7(3y + -2) + -1(y + -7) + 23 Reorder the terms: -5 + -9(3 + 2y) = 7(3y + -2) + -1(y + -7) + 23 -5 + (3 * -9 + 2y * -9) = 7(3y + -2) + -1(y + -7) + 23 -5 + (-27 + -18y) = 7(3y + -2) + -1(y + -7) + 23 Combine like terms: -5 + -27 = -32 -32 + -18y = 7(3y + -2) + -1(y + -7) + 23 Reorder the terms: -32 + -18y = 7(-2 + 3y) + -1(y + -7) + 23 -32 + -18y = (-2 * 7 + 3y * 7) + -1(y + -7) + 23 -32 + -18y = (-14 + 21y) + -1(y + -7) + 23 Reorder the terms: -32 + -18y = -14 + 21y + -1(-7 + y) + 23 -32 + -18y = -14 + 21y + (-7 * -1 + y * -1) + 23 -32 + -18y = -14 + 21y + (7 + -1y) + 23 Reorder the terms: -32 + -18y = -14 + 7 + 23 + 21y + -1y Combine like terms: -14 + 7 = -7 -32 + -18y = -7 + 23 + 21y + -1y Combine like terms: -7 + 23 = 16 -32 + -18y = 16 + 21y + -1y Combine like terms: 21y + -1y = 20y -32 + -18y = 16 + 20y Solving -32 + -18y = 16 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -32 + -18y + -20y = 16 + 20y + -20y Combine like terms: -18y + -20y = -38y -32 + -38y = 16 + 20y + -20y Combine like terms: 20y + -20y = 0 -32 + -38y = 16 + 0 -32 + -38y = 16 Add '32' to each side of the equation. -32 + 32 + -38y = 16 + 32 Combine like terms: -32 + 32 = 0 0 + -38y = 16 + 32 -38y = 16 + 32 Combine like terms: 16 + 32 = 48 -38y = 48 Divide each side by '-38'. y = -1.263157895 Simplifying y = -1.263157895
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