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Simplifying 7(2 + -1y) + 11(y + -4) + -10 = 0 (2 * 7 + -1y * 7) + 11(y + -4) + -10 = 0 (14 + -7y) + 11(y + -4) + -10 = 0 Reorder the terms: 14 + -7y + 11(-4 + y) + -10 = 0 14 + -7y + (-4 * 11 + y * 11) + -10 = 0 14 + -7y + (-44 + 11y) + -10 = 0 Reorder the terms: 14 + -44 + -10 + -7y + 11y = 0 Combine like terms: 14 + -44 = -30 -30 + -10 + -7y + 11y = 0 Combine like terms: -30 + -10 = -40 -40 + -7y + 11y = 0 Combine like terms: -7y + 11y = 4y -40 + 4y = 0 Solving -40 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 4y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + 4y = 0 + 40 4y = 0 + 40 Combine like terms: 0 + 40 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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