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Simplifying 120(y + -22) = 105(y + -4) Reorder the terms: 120(-22 + y) = 105(y + -4) (-22 * 120 + y * 120) = 105(y + -4) (-2640 + 120y) = 105(y + -4) Reorder the terms: -2640 + 120y = 105(-4 + y) -2640 + 120y = (-4 * 105 + y * 105) -2640 + 120y = (-420 + 105y) Solving -2640 + 120y = -420 + 105y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-105y' to each side of the equation. -2640 + 120y + -105y = -420 + 105y + -105y Combine like terms: 120y + -105y = 15y -2640 + 15y = -420 + 105y + -105y Combine like terms: 105y + -105y = 0 -2640 + 15y = -420 + 0 -2640 + 15y = -420 Add '2640' to each side of the equation. -2640 + 2640 + 15y = -420 + 2640 Combine like terms: -2640 + 2640 = 0 0 + 15y = -420 + 2640 15y = -420 + 2640 Combine like terms: -420 + 2640 = 2220 15y = 2220 Divide each side by '15'. y = 148 Simplifying y = 148
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