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Simplifying -105 + 11y + 6 = 4(5y + -4) + -2 Reorder the terms: -105 + 6 + 11y = 4(5y + -4) + -2 Combine like terms: -105 + 6 = -99 -99 + 11y = 4(5y + -4) + -2 Reorder the terms: -99 + 11y = 4(-4 + 5y) + -2 -99 + 11y = (-4 * 4 + 5y * 4) + -2 -99 + 11y = (-16 + 20y) + -2 Reorder the terms: -99 + 11y = -16 + -2 + 20y Combine like terms: -16 + -2 = -18 -99 + 11y = -18 + 20y Solving -99 + 11y = -18 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -99 + 11y + -20y = -18 + 20y + -20y Combine like terms: 11y + -20y = -9y -99 + -9y = -18 + 20y + -20y Combine like terms: 20y + -20y = 0 -99 + -9y = -18 + 0 -99 + -9y = -18 Add '99' to each side of the equation. -99 + 99 + -9y = -18 + 99 Combine like terms: -99 + 99 = 0 0 + -9y = -18 + 99 -9y = -18 + 99 Combine like terms: -18 + 99 = 81 -9y = 81 Divide each side by '-9'. y = -9 Simplifying y = -9
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