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Simplifying 3y + 10 = -8(y + -4) Reorder the terms: 10 + 3y = -8(y + -4) Reorder the terms: 10 + 3y = -8(-4 + y) 10 + 3y = (-4 * -8 + y * -8) 10 + 3y = (32 + -8y) Solving 10 + 3y = 32 + -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 + 3y + 8y = 32 + -8y + 8y Combine like terms: 3y + 8y = 11y 10 + 11y = 32 + -8y + 8y Combine like terms: -8y + 8y = 0 10 + 11y = 32 + 0 10 + 11y = 32 Add '-10' to each side of the equation. 10 + -10 + 11y = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 11y = 32 + -10 11y = 32 + -10 Combine like terms: 32 + -10 = 22 11y = 22 Divide each side by '11'. y = 2 Simplifying y = 2
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