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Simplifying 6y + 10 = -4(2y + 1) Reorder the terms: 10 + 6y = -4(2y + 1) Reorder the terms: 10 + 6y = -4(1 + 2y) 10 + 6y = (1 * -4 + 2y * -4) 10 + 6y = (-4 + -8y) Solving 10 + 6y = -4 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 10 + 6y + 8y = -4 + -8y + 8y Combine like terms: 6y + 8y = 14y 10 + 14y = -4 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + 14y = -4 + 0 10 + 14y = -4 Add '-10' to each side of the equation. 10 + -10 + 14y = -4 + -10 Combine like terms: 10 + -10 = 0 0 + 14y = -4 + -10 14y = -4 + -10 Combine like terms: -4 + -10 = -14 14y = -14 Divide each side by '14'. y = -1 Simplifying y = -1
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