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Simplifying 4(y + -1) + 7 = 5(2y + -3) Reorder the terms: 4(-1 + y) + 7 = 5(2y + -3) (-1 * 4 + y * 4) + 7 = 5(2y + -3) (-4 + 4y) + 7 = 5(2y + -3) Reorder the terms: -4 + 7 + 4y = 5(2y + -3) Combine like terms: -4 + 7 = 3 3 + 4y = 5(2y + -3) Reorder the terms: 3 + 4y = 5(-3 + 2y) 3 + 4y = (-3 * 5 + 2y * 5) 3 + 4y = (-15 + 10y) Solving 3 + 4y = -15 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 3 + 4y + -10y = -15 + 10y + -10y Combine like terms: 4y + -10y = -6y 3 + -6y = -15 + 10y + -10y Combine like terms: 10y + -10y = 0 3 + -6y = -15 + 0 3 + -6y = -15 Add '-3' to each side of the equation. 3 + -3 + -6y = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -6y = -15 + -3 -6y = -15 + -3 Combine like terms: -15 + -3 = -18 -6y = -18 Divide each side by '-6'. y = 3 Simplifying y = 3
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