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Simplifying 93(y + 11) = 93(2y + 13) Reorder the terms: 93(11 + y) = 93(2y + 13) (11 * 93 + y * 93) = 93(2y + 13) (1023 + 93y) = 93(2y + 13) Reorder the terms: 1023 + 93y = 93(13 + 2y) 1023 + 93y = (13 * 93 + 2y * 93) 1023 + 93y = (1209 + 186y) Solving 1023 + 93y = 1209 + 186y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-186y' to each side of the equation. 1023 + 93y + -186y = 1209 + 186y + -186y Combine like terms: 93y + -186y = -93y 1023 + -93y = 1209 + 186y + -186y Combine like terms: 186y + -186y = 0 1023 + -93y = 1209 + 0 1023 + -93y = 1209 Add '-1023' to each side of the equation. 1023 + -1023 + -93y = 1209 + -1023 Combine like terms: 1023 + -1023 = 0 0 + -93y = 1209 + -1023 -93y = 1209 + -1023 Combine like terms: 1209 + -1023 = 186 -93y = 186 Divide each side by '-93'. y = -2 Simplifying y = -2
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