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Simplifying -4y + -7 = 3(2y + 1) Reorder the terms: -7 + -4y = 3(2y + 1) Reorder the terms: -7 + -4y = 3(1 + 2y) -7 + -4y = (1 * 3 + 2y * 3) -7 + -4y = (3 + 6y) Solving -7 + -4y = 3 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -7 + -4y + -6y = 3 + 6y + -6y Combine like terms: -4y + -6y = -10y -7 + -10y = 3 + 6y + -6y Combine like terms: 6y + -6y = 0 -7 + -10y = 3 + 0 -7 + -10y = 3 Add '7' to each side of the equation. -7 + 7 + -10y = 3 + 7 Combine like terms: -7 + 7 = 0 0 + -10y = 3 + 7 -10y = 3 + 7 Combine like terms: 3 + 7 = 10 -10y = 10 Divide each side by '-10'. y = -1 Simplifying y = -1
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