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Simplifying -7(y + 1) = 2y + -4 + 3(2y + 1) Reorder the terms: -7(1 + y) = 2y + -4 + 3(2y + 1) (1 * -7 + y * -7) = 2y + -4 + 3(2y + 1) (-7 + -7y) = 2y + -4 + 3(2y + 1) Reorder the terms: -7 + -7y = 2y + -4 + 3(1 + 2y) -7 + -7y = 2y + -4 + (1 * 3 + 2y * 3) -7 + -7y = 2y + -4 + (3 + 6y) Reorder the terms: -7 + -7y = -4 + 3 + 2y + 6y Combine like terms: -4 + 3 = -1 -7 + -7y = -1 + 2y + 6y Combine like terms: 2y + 6y = 8y -7 + -7y = -1 + 8y Solving -7 + -7y = -1 + 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. -7 + -7y + -8y = -1 + 8y + -8y Combine like terms: -7y + -8y = -15y -7 + -15y = -1 + 8y + -8y Combine like terms: 8y + -8y = 0 -7 + -15y = -1 + 0 -7 + -15y = -1 Add '7' to each side of the equation. -7 + 7 + -15y = -1 + 7 Combine like terms: -7 + 7 = 0 0 + -15y = -1 + 7 -15y = -1 + 7 Combine like terms: -1 + 7 = 6 -15y = 6 Divide each side by '-15'. y = -0.4 Simplifying y = -0.4
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