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Simplifying 3y + 45 = -8(y + -7) Reorder the terms: 45 + 3y = -8(y + -7) Reorder the terms: 45 + 3y = -8(-7 + y) 45 + 3y = (-7 * -8 + y * -8) 45 + 3y = (56 + -8y) Solving 45 + 3y = 56 + -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. 45 + 3y + 8y = 56 + -8y + 8y Combine like terms: 3y + 8y = 11y 45 + 11y = 56 + -8y + 8y Combine like terms: -8y + 8y = 0 45 + 11y = 56 + 0 45 + 11y = 56 Add '-45' to each side of the equation. 45 + -45 + 11y = 56 + -45 Combine like terms: 45 + -45 = 0 0 + 11y = 56 + -45 11y = 56 + -45 Combine like terms: 56 + -45 = 11 11y = 11 Divide each side by '11'. y = 1 Simplifying y = 1
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