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Simplifying 11(5 + -1y) + 7 = -7(y + -4) + -10 (5 * 11 + -1y * 11) + 7 = -7(y + -4) + -10 (55 + -11y) + 7 = -7(y + -4) + -10 Reorder the terms: 55 + 7 + -11y = -7(y + -4) + -10 Combine like terms: 55 + 7 = 62 62 + -11y = -7(y + -4) + -10 Reorder the terms: 62 + -11y = -7(-4 + y) + -10 62 + -11y = (-4 * -7 + y * -7) + -10 62 + -11y = (28 + -7y) + -10 Reorder the terms: 62 + -11y = 28 + -10 + -7y Combine like terms: 28 + -10 = 18 62 + -11y = 18 + -7y Solving 62 + -11y = 18 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 62 + -11y + 7y = 18 + -7y + 7y Combine like terms: -11y + 7y = -4y 62 + -4y = 18 + -7y + 7y Combine like terms: -7y + 7y = 0 62 + -4y = 18 + 0 62 + -4y = 18 Add '-62' to each side of the equation. 62 + -62 + -4y = 18 + -62 Combine like terms: 62 + -62 = 0 0 + -4y = 18 + -62 -4y = 18 + -62 Combine like terms: 18 + -62 = -44 -4y = -44 Divide each side by '-4'. y = 11 Simplifying y = 11
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