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Simplifying 1 + -7(3y + 5) = (8y + 5) + -3 Reorder the terms: 1 + -7(5 + 3y) = (8y + 5) + -3 1 + (5 * -7 + 3y * -7) = (8y + 5) + -3 1 + (-35 + -21y) = (8y + 5) + -3 Combine like terms: 1 + -35 = -34 -34 + -21y = (8y + 5) + -3 Reorder the terms: -34 + -21y = (5 + 8y) + -3 Remove parenthesis around (5 + 8y) -34 + -21y = 5 + 8y + -3 Reorder the terms: -34 + -21y = 5 + -3 + 8y Combine like terms: 5 + -3 = 2 -34 + -21y = 2 + 8y Solving -34 + -21y = 2 + 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. -34 + -21y + -8y = 2 + 8y + -8y Combine like terms: -21y + -8y = -29y -34 + -29y = 2 + 8y + -8y Combine like terms: 8y + -8y = 0 -34 + -29y = 2 + 0 -34 + -29y = 2 Add '34' to each side of the equation. -34 + 34 + -29y = 2 + 34 Combine like terms: -34 + 34 = 0 0 + -29y = 2 + 34 -29y = 2 + 34 Combine like terms: 2 + 34 = 36 -29y = 36 Divide each side by '-29'. y = -1.24137931 Simplifying y = -1.24137931
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