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Simplifying 5y + 22(y + -6) = 4(y + 1) + -2 Reorder the terms: 5y + 22(-6 + y) = 4(y + 1) + -2 5y + (-6 * 22 + y * 22) = 4(y + 1) + -2 5y + (-132 + 22y) = 4(y + 1) + -2 Reorder the terms: -132 + 5y + 22y = 4(y + 1) + -2 Combine like terms: 5y + 22y = 27y -132 + 27y = 4(y + 1) + -2 Reorder the terms: -132 + 27y = 4(1 + y) + -2 -132 + 27y = (1 * 4 + y * 4) + -2 -132 + 27y = (4 + 4y) + -2 Reorder the terms: -132 + 27y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -132 + 27y = 2 + 4y Solving -132 + 27y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -132 + 27y + -4y = 2 + 4y + -4y Combine like terms: 27y + -4y = 23y -132 + 23y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -132 + 23y = 2 + 0 -132 + 23y = 2 Add '132' to each side of the equation. -132 + 132 + 23y = 2 + 132 Combine like terms: -132 + 132 = 0 0 + 23y = 2 + 132 23y = 2 + 132 Combine like terms: 2 + 132 = 134 23y = 134 Divide each side by '23'. y = 5.826086957 Simplifying y = 5.826086957
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