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Simplifying 5y + 2(3y + -6) = 4(y + 1) + -2 Reorder the terms: 5y + 2(-6 + 3y) = 4(y + 1) + -2 5y + (-6 * 2 + 3y * 2) = 4(y + 1) + -2 5y + (-12 + 6y) = 4(y + 1) + -2 Reorder the terms: -12 + 5y + 6y = 4(y + 1) + -2 Combine like terms: 5y + 6y = 11y -12 + 11y = 4(y + 1) + -2 Reorder the terms: -12 + 11y = 4(1 + y) + -2 -12 + 11y = (1 * 4 + y * 4) + -2 -12 + 11y = (4 + 4y) + -2 Reorder the terms: -12 + 11y = 4 + -2 + 4y Combine like terms: 4 + -2 = 2 -12 + 11y = 2 + 4y Solving -12 + 11y = 2 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -12 + 11y + -4y = 2 + 4y + -4y Combine like terms: 11y + -4y = 7y -12 + 7y = 2 + 4y + -4y Combine like terms: 4y + -4y = 0 -12 + 7y = 2 + 0 -12 + 7y = 2 Add '12' to each side of the equation. -12 + 12 + 7y = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7y = 2 + 12 7y = 2 + 12 Combine like terms: 2 + 12 = 14 7y = 14 Divide each side by '7'. y = 2 Simplifying y = 2
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