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Simplifying 2 + -4(-9y + 5) = -7(6y + 3) + -7 Reorder the terms: 2 + -4(5 + -9y) = -7(6y + 3) + -7 2 + (5 * -4 + -9y * -4) = -7(6y + 3) + -7 2 + (-20 + 36y) = -7(6y + 3) + -7 Combine like terms: 2 + -20 = -18 -18 + 36y = -7(6y + 3) + -7 Reorder the terms: -18 + 36y = -7(3 + 6y) + -7 -18 + 36y = (3 * -7 + 6y * -7) + -7 -18 + 36y = (-21 + -42y) + -7 Reorder the terms: -18 + 36y = -21 + -7 + -42y Combine like terms: -21 + -7 = -28 -18 + 36y = -28 + -42y Solving -18 + 36y = -28 + -42y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '42y' to each side of the equation. -18 + 36y + 42y = -28 + -42y + 42y Combine like terms: 36y + 42y = 78y -18 + 78y = -28 + -42y + 42y Combine like terms: -42y + 42y = 0 -18 + 78y = -28 + 0 -18 + 78y = -28 Add '18' to each side of the equation. -18 + 18 + 78y = -28 + 18 Combine like terms: -18 + 18 = 0 0 + 78y = -28 + 18 78y = -28 + 18 Combine like terms: -28 + 18 = -10 78y = -10 Divide each side by '78'. y = -0.1282051282 Simplifying y = -0.1282051282
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