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Simplifying 152 = 5y + 3 + 4y + 1 + 5y + 3 + 4y + 1 Reorder the terms: 152 = 3 + 1 + 3 + 1 + 5y + 4y + 5y + 4y Combine like terms: 3 + 1 = 4 152 = 4 + 3 + 1 + 5y + 4y + 5y + 4y Combine like terms: 4 + 3 = 7 152 = 7 + 1 + 5y + 4y + 5y + 4y Combine like terms: 7 + 1 = 8 152 = 8 + 5y + 4y + 5y + 4y Combine like terms: 5y + 4y = 9y 152 = 8 + 9y + 5y + 4y Combine like terms: 9y + 5y = 14y 152 = 8 + 14y + 4y Combine like terms: 14y + 4y = 18y 152 = 8 + 18y Solving 152 = 8 + 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. 152 + -18y = 8 + 18y + -18y Combine like terms: 18y + -18y = 0 152 + -18y = 8 + 0 152 + -18y = 8 Add '-152' to each side of the equation. 152 + -152 + -18y = 8 + -152 Combine like terms: 152 + -152 = 0 0 + -18y = 8 + -152 -18y = 8 + -152 Combine like terms: 8 + -152 = -144 -18y = -144 Divide each side by '-18'. y = 8 Simplifying y = 8
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