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Simplifying 4(2p + 1) + -8y + 6 = 4(y + -2) Reorder the terms: 4(1 + 2p) + -8y + 6 = 4(y + -2) (1 * 4 + 2p * 4) + -8y + 6 = 4(y + -2) (4 + 8p) + -8y + 6 = 4(y + -2) Reorder the terms: 4 + 6 + 8p + -8y = 4(y + -2) Combine like terms: 4 + 6 = 10 10 + 8p + -8y = 4(y + -2) Reorder the terms: 10 + 8p + -8y = 4(-2 + y) 10 + 8p + -8y = (-2 * 4 + y * 4) 10 + 8p + -8y = (-8 + 4y) Solving 10 + 8p + -8y = -8 + 4y Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 8p + -10 + -8y = -8 + -10 + 4y Reorder the terms: 10 + -10 + 8p + -8y = -8 + -10 + 4y Combine like terms: 10 + -10 = 0 0 + 8p + -8y = -8 + -10 + 4y 8p + -8y = -8 + -10 + 4y Combine like terms: -8 + -10 = -18 8p + -8y = -18 + 4y Add '8y' to each side of the equation. 8p + -8y + 8y = -18 + 4y + 8y Combine like terms: -8y + 8y = 0 8p + 0 = -18 + 4y + 8y 8p = -18 + 4y + 8y Combine like terms: 4y + 8y = 12y 8p = -18 + 12y Divide each side by '8'. p = -2.25 + 1.5y Simplifying p = -2.25 + 1.5y
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